---
_id: '15862'
author:
- first_name: Christian
  full_name: Wiebeler, Christian
  last_name: Wiebeler
- first_name: Stefan
  full_name: Schumacher, Stefan
  id: '27271'
  last_name: Schumacher
  orcid: 0000-0003-4042-4951
citation:
  ama: 'Wiebeler C, Schumacher S. Quantum Yields and Reaction Times of Photochromic
    Diarylethenes: Nonadiabatic Ab Initio Molecular Dynamics for Normal- and Inverse-Type.
    <i>The Journal of Physical Chemistry A</i>. Published online 2014:7816-7823. doi:<a
    href="https://doi.org/10.1021/jp506316w">10.1021/jp506316w</a>'
  apa: 'Wiebeler, C., &#38; Schumacher, S. (2014). Quantum Yields and Reaction Times
    of Photochromic Diarylethenes: Nonadiabatic Ab Initio Molecular Dynamics for Normal-
    and Inverse-Type. <i>The Journal of Physical Chemistry A</i>, 7816–7823. <a href="https://doi.org/10.1021/jp506316w">https://doi.org/10.1021/jp506316w</a>'
  bibtex: '@article{Wiebeler_Schumacher_2014, title={Quantum Yields and Reaction Times
    of Photochromic Diarylethenes: Nonadiabatic Ab Initio Molecular Dynamics for Normal-
    and Inverse-Type}, DOI={<a href="https://doi.org/10.1021/jp506316w">10.1021/jp506316w</a>},
    journal={The Journal of Physical Chemistry A}, author={Wiebeler, Christian and
    Schumacher, Stefan}, year={2014}, pages={7816–7823} }'
  chicago: 'Wiebeler, Christian, and Stefan Schumacher. “Quantum Yields and Reaction
    Times of Photochromic Diarylethenes: Nonadiabatic Ab Initio Molecular Dynamics
    for Normal- and Inverse-Type.” <i>The Journal of Physical Chemistry A</i>, 2014,
    7816–23. <a href="https://doi.org/10.1021/jp506316w">https://doi.org/10.1021/jp506316w</a>.'
  ieee: 'C. Wiebeler and S. Schumacher, “Quantum Yields and Reaction Times of Photochromic
    Diarylethenes: Nonadiabatic Ab Initio Molecular Dynamics for Normal- and Inverse-Type,”
    <i>The Journal of Physical Chemistry A</i>, pp. 7816–7823, 2014, doi: <a href="https://doi.org/10.1021/jp506316w">10.1021/jp506316w</a>.'
  mla: 'Wiebeler, Christian, and Stefan Schumacher. “Quantum Yields and Reaction Times
    of Photochromic Diarylethenes: Nonadiabatic Ab Initio Molecular Dynamics for Normal-
    and Inverse-Type.” <i>The Journal of Physical Chemistry A</i>, 2014, pp. 7816–23,
    doi:<a href="https://doi.org/10.1021/jp506316w">10.1021/jp506316w</a>.'
  short: C. Wiebeler, S. Schumacher, The Journal of Physical Chemistry A (2014) 7816–7823.
date_created: 2020-02-10T11:54:03Z
date_updated: 2025-12-16T08:03:40Z
department:
- _id: '15'
- _id: '170'
- _id: '297'
- _id: '35'
- _id: '230'
- _id: '27'
doi: 10.1021/jp506316w
language:
- iso: eng
page: 7816-7823
project:
- _id: '52'
  name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: The Journal of Physical Chemistry A
publication_identifier:
  issn:
  - 1089-5639
  - 1520-5215
publication_status: published
status: public
title: 'Quantum Yields and Reaction Times of Photochromic Diarylethenes: Nonadiabatic
  Ab Initio Molecular Dynamics for Normal- and Inverse-Type'
type: journal_article
user_id: '16199'
year: '2014'
...
---
_id: '18471'
abstract:
- lang: eng
  text: Collective spin excitations form a fundamental class of excitations in magnetic
    materials. As their energy reaches down to only a few meV, they are present at
    all temperatures and substantially influence the properties of magnetic systems.
    To study the spin excitations in solids from first principles, we have developed
    a computational scheme based on many-body perturbation theory within the full-potential
    linearized augmented plane-wave (FLAPW) method. The main quantity of interest
    is the dynamical transverse spin susceptibility or magnetic response function,
    from which magnetic excitations, including single-particle spin-flip Stoner excitations
    and collective spin-wave modes as well as their lifetimes, can be obtained. In
    order to describe spin waves we include appropriate vertex corrections in the
    form of a multiple-scattering T matrix, which describes the coupling of electrons
    and holes with different spins. The electron–hole interaction incorporates the
    screening of the many-body system within the random-phase approximation. To reduce
    the numerical cost in evaluating the four-point T matrix, we exploit a transformation
    to maximally localized Wannier functions that takes advantage of the short spatial
    range of electronic correlation in the partially filled d or f orbitals of magnetic
    materials. The theory and the implementation are discussed in detail. In particular,
    we show how the magnetic response function can be evaluated for arbitrary k points.
    This enables the calculation of smooth dispersion curves, allowing one to study
    fine details in the k dependence of the spin-wave spectra. We also demonstrate
    how spatial and time-reversal symmetry can be exploited to accelerate substantially
    the computation of the four-point quantities. As an illustration, we present spin-wave
    spectra and dispersions for the elementary ferromagnet bcc Fe, B2-type tetragonal
    FeCo, and CrO2 calculated with our scheme. The results are in good agreement with
    available experimental data.
author:
- first_name: Christoph
  full_name: Friedrich, Christoph
  last_name: Friedrich
- first_name: Ersoy
  full_name: Şaşıoğlu, Ersoy
  last_name: Şaşıoğlu
- first_name: Mathias
  full_name: Müller, Mathias
  last_name: Müller
- first_name: Arno
  full_name: Schindlmayr, Arno
  id: '458'
  last_name: Schindlmayr
  orcid: 0000-0002-4855-071X
- first_name: Stefan
  full_name: Blügel, Stefan
  last_name: Blügel
citation:
  ama: 'Friedrich C, Şaşıoğlu E, Müller M, Schindlmayr A, Blügel S. Spin excitations
    in solids from many-body perturbation theory. In: Di Valentin C, Botti S, Cococcioni
    M, eds. <i>First Principles Approaches to Spectroscopic Properties of Complex
    Materials</i>. Vol 347.  Topics in Current Chemistry. Springer; 2014:259-301.
    doi:<a href="https://doi.org/10.1007/128_2013_518">10.1007/128_2013_518</a>'
  apa: Friedrich, C., Şaşıoğlu, E., Müller, M., Schindlmayr, A., &#38; Blügel, S.
    (2014). Spin excitations in solids from many-body perturbation theory. In C. Di
    Valentin, S. Botti, &#38; M. Cococcioni (Eds.), <i>First Principles Approaches
    to Spectroscopic Properties of Complex Materials</i> (Vol. 347, pp. 259–301).
    Springer. <a href="https://doi.org/10.1007/128_2013_518">https://doi.org/10.1007/128_2013_518</a>
  bibtex: '@inbook{Friedrich_Şaşıoğlu_Müller_Schindlmayr_Blügel_2014, place={Berlin,
    Heidelberg}, series={ Topics in Current Chemistry}, title={Spin excitations in
    solids from many-body perturbation theory}, volume={347}, DOI={<a href="https://doi.org/10.1007/128_2013_518">10.1007/128_2013_518</a>},
    booktitle={First Principles Approaches to Spectroscopic Properties of Complex
    Materials}, publisher={Springer}, author={Friedrich, Christoph and Şaşıoğlu, Ersoy
    and Müller, Mathias and Schindlmayr, Arno and Blügel, Stefan}, editor={Di Valentin,
    Cristiana and Botti, Silvana and Cococcioni, Matteo}, year={2014}, pages={259–301},
    collection={ Topics in Current Chemistry} }'
  chicago: 'Friedrich, Christoph, Ersoy Şaşıoğlu, Mathias Müller, Arno Schindlmayr,
    and Stefan Blügel. “Spin Excitations in Solids from Many-Body Perturbation Theory.”
    In <i>First Principles Approaches to Spectroscopic Properties of Complex Materials</i>,
    edited by Cristiana Di Valentin, Silvana Botti, and Matteo Cococcioni, 347:259–301.  Topics
    in Current Chemistry. Berlin, Heidelberg: Springer, 2014. <a href="https://doi.org/10.1007/128_2013_518">https://doi.org/10.1007/128_2013_518</a>.'
  ieee: 'C. Friedrich, E. Şaşıoğlu, M. Müller, A. Schindlmayr, and S. Blügel, “Spin
    excitations in solids from many-body perturbation theory,” in <i>First Principles
    Approaches to Spectroscopic Properties of Complex Materials</i>, vol. 347, C.
    Di Valentin, S. Botti, and M. Cococcioni, Eds. Berlin, Heidelberg: Springer, 2014,
    pp. 259–301.'
  mla: Friedrich, Christoph, et al. “Spin Excitations in Solids from Many-Body Perturbation
    Theory.” <i>First Principles Approaches to Spectroscopic Properties of Complex
    Materials</i>, edited by Cristiana Di Valentin et al., vol. 347, Springer, 2014,
    pp. 259–301, doi:<a href="https://doi.org/10.1007/128_2013_518">10.1007/128_2013_518</a>.
  short: 'C. Friedrich, E. Şaşıoğlu, M. Müller, A. Schindlmayr, S. Blügel, in: C.
    Di Valentin, S. Botti, M. Cococcioni (Eds.), First Principles Approaches to Spectroscopic
    Properties of Complex Materials, Springer, Berlin, Heidelberg, 2014, pp. 259–301.'
date_created: 2020-08-27T21:00:45Z
date_updated: 2025-12-16T08:06:12Z
ddc:
- '530'
department:
- _id: '296'
- _id: '35'
- _id: '15'
- _id: '230'
doi: 10.1007/128_2013_518
editor:
- first_name: Cristiana
  full_name: Di Valentin, Cristiana
  last_name: Di Valentin
- first_name: Silvana
  full_name: Botti, Silvana
  last_name: Botti
- first_name: Matteo
  full_name: Cococcioni, Matteo
  last_name: Cococcioni
external_id:
  isi:
  - '000356811000008'
  pmid:
  - '24577607'
file:
- access_level: closed
  content_type: application/pdf
  creator: schindlm
  date_created: 2020-08-28T15:19:57Z
  date_updated: 2020-08-30T14:48:45Z
  description: © 2014 Springer-Verlag, Berlin, Heidelberg
  file_id: '18584'
  file_name: Friedrich2014_Chapter_SpinExcitationsInSolidsFromMan.pdf
  file_size: 1061365
  relation: main_file
  title: Spin excitations in solids from many-body perturbation theory
file_date_updated: 2020-08-30T14:48:45Z
has_accepted_license: '1'
intvolume: '       347'
isi: '1'
language:
- iso: eng
page: 259-301
place: Berlin, Heidelberg
pmid: '1'
publication: First Principles Approaches to Spectroscopic Properties of Complex Materials
publication_identifier:
  eisbn:
  - 978-3-642-55068-3
  eissn:
  - 1436-5049
  isbn:
  - 978-3-642-55067-6
  issn:
  - 0340-1022
publication_status: published
publisher: Springer
quality_controlled: '1'
series_title: ' Topics in Current Chemistry'
status: public
title: Spin excitations in solids from many-body perturbation theory
type: book_chapter
user_id: '16199'
volume: 347
year: '2014'
...
---
_id: '18472'
abstract:
- lang: eng
  text: Many-body perturbation theory is a well-established ab initio electronic-structure
    method based on Green functions. Although computationally more demanding than
    density functional theory, it has the distinct advantage that the exact expressions
    for all relevant observables, including the ground-state total energy, in terms
    of the Green function are known explicitly. The most important application, however,
    lies in the calculation of excited states, whose energies correspond directly
    to the poles of the Green function in the complex frequency plane. The accuracy
    of results obtained within this framework is only limited by the choice of the
    exchange-correlation self-energy, which must still be approximated in actual implementations.
    In this respect, the GW approximation has proved highly successful for systems
    governed by the Coulomb interaction. It yields band structures of solids, including
    the band gaps of semiconductors, as well as atomic and molecular ionization energies
    in very good quantitative agreement with experimental photoemission data.
author:
- first_name: Arno
  full_name: Schindlmayr, Arno
  id: '458'
  last_name: Schindlmayr
  orcid: 0000-0002-4855-071X
citation:
  ama: 'Schindlmayr A. The GW approximation for the electronic self-energy. In: Bach
    V, Delle Site L, eds. <i>Many-Electron Approaches in Physics, Chemistry and Mathematics</i>.
    Vol 29.  Mathematical Physics Studies. Springer; 2014:343-357. doi:<a href="https://doi.org/10.1007/978-3-319-06379-9_19">10.1007/978-3-319-06379-9_19</a>'
  apa: Schindlmayr, A. (2014). The GW approximation for the electronic self-energy.
    In V. Bach &#38; L. Delle Site (Eds.), <i>Many-Electron Approaches in Physics,
    Chemistry and Mathematics</i> (Vol. 29, pp. 343–357). Springer. <a href="https://doi.org/10.1007/978-3-319-06379-9_19">https://doi.org/10.1007/978-3-319-06379-9_19</a>
  bibtex: '@inbook{Schindlmayr_2014, place={Cham}, series={ Mathematical Physics Studies},
    title={The GW approximation for the electronic self-energy}, volume={29}, DOI={<a
    href="https://doi.org/10.1007/978-3-319-06379-9_19">10.1007/978-3-319-06379-9_19</a>},
    booktitle={Many-Electron Approaches in Physics, Chemistry and Mathematics}, publisher={Springer},
    author={Schindlmayr, Arno}, editor={Bach, Volker and Delle Site, Luigi}, year={2014},
    pages={343–357}, collection={ Mathematical Physics Studies} }'
  chicago: 'Schindlmayr, Arno. “The GW Approximation for the Electronic Self-Energy.”
    In <i>Many-Electron Approaches in Physics, Chemistry and Mathematics</i>, edited
    by Volker Bach and Luigi Delle Site, 29:343–57.  Mathematical Physics Studies.
    Cham: Springer, 2014. <a href="https://doi.org/10.1007/978-3-319-06379-9_19">https://doi.org/10.1007/978-3-319-06379-9_19</a>.'
  ieee: 'A. Schindlmayr, “The GW approximation for the electronic self-energy,” in
    <i>Many-Electron Approaches in Physics, Chemistry and Mathematics</i>, vol. 29,
    V. Bach and L. Delle Site, Eds. Cham: Springer, 2014, pp. 343–357.'
  mla: Schindlmayr, Arno. “The GW Approximation for the Electronic Self-Energy.” <i>Many-Electron
    Approaches in Physics, Chemistry and Mathematics</i>, edited by Volker Bach and
    Luigi Delle Site, vol. 29, Springer, 2014, pp. 343–57, doi:<a href="https://doi.org/10.1007/978-3-319-06379-9_19">10.1007/978-3-319-06379-9_19</a>.
  short: 'A. Schindlmayr, in: V. Bach, L. Delle Site (Eds.), Many-Electron Approaches
    in Physics, Chemistry and Mathematics, Springer, Cham, 2014, pp. 343–357.'
date_created: 2020-08-27T21:11:43Z
date_updated: 2025-12-16T08:05:25Z
ddc:
- '530'
department:
- _id: '296'
- _id: '35'
- _id: '15'
- _id: '170'
- _id: '230'
doi: 10.1007/978-3-319-06379-9_19
editor:
- first_name: Volker
  full_name: Bach, Volker
  last_name: Bach
- first_name: Luigi
  full_name: Delle Site, Luigi
  last_name: Delle Site
file:
- access_level: closed
  content_type: application/pdf
  creator: schindlm
  date_created: 2020-08-28T15:25:10Z
  date_updated: 2020-08-30T14:50:18Z
  description: © 2014 Springer International Publishing, Switzerland
  file_id: '18585'
  file_name: Schindlmayr2014_Chapter_TheGWApproximationForTheElectr.pdf
  file_size: 309579
  relation: main_file
  title: The GW approximation for the electronic self-energy
file_date_updated: 2020-08-30T14:50:18Z
has_accepted_license: '1'
intvolume: '        29'
language:
- iso: eng
page: 343-357
place: Cham
publication: Many-Electron Approaches in Physics, Chemistry and Mathematics
publication_identifier:
  eisbn:
  - 978-3-319-06379-9
  eissn:
  - 2352-3905
  isbn:
  - 978-3-319-06378-2
  issn:
  - 0921-3767
publication_status: published
publisher: Springer
quality_controlled: '1'
series_title: ' Mathematical Physics Studies'
status: public
title: The GW approximation for the electronic self-energy
type: book_chapter
user_id: '16199'
volume: 29
year: '2014'
...
---
_id: '18473'
abstract:
- lang: eng
  text: We investigate the band dispersion and related electronic properties of picene
    single crystals within the GW approximation for the electronic self-energy. The
    width of the upper highest occupied molecular orbital (HOMOu) band along the Γ–Y
    direction, corresponding to the b crystal axis in real space along which the molecules
    are stacked, is determined to be 0.60 eV and thus 0.11 eV larger than the value
    obtained from density-functional theory. As in our recent study of rubrene using
    the same methodology [S. Yanagisawa, Y. Morikawa, and A. Schindlmayr, Phys. Rev.
    B 88, 115438 (2013)], this increase in the bandwidth is due to the strong variation
    of the GW self-energy correction across the Brillouin zone, which in turn reflects
    the increasing hybridization of the HOMOu states of neighboring picene molecules
    from Γ to Y. In contrast, the width of the lower HOMO (HOMOl) band along Γ–Y remains
    almost unchanged, consistent with the fact that the HOMOl(Γ) and HOMOl(Y) states
    exhibit the same degree of hybridization, so that the nodal structure of the wave
    functions and the matrix elements of the self-energy correction are very similar.
article_number: 05FY02
article_type: original
author:
- first_name: Susumu
  full_name: Yanagisawa, Susumu
  last_name: Yanagisawa
- first_name: Yoshitada
  full_name: Morikawa, Yoshitada
  last_name: Morikawa
- first_name: Arno
  full_name: Schindlmayr, Arno
  id: '458'
  last_name: Schindlmayr
  orcid: 0000-0002-4855-071X
citation:
  ama: Yanagisawa S, Morikawa Y, Schindlmayr A. Theoretical investigation of the band
    structure of picene single crystals within the GW approximation. <i>Japanese Journal
    of Applied Physics</i>. 2014;53(5S1). doi:<a href="https://doi.org/10.7567/jjap.53.05fy02">10.7567/jjap.53.05fy02</a>
  apa: Yanagisawa, S., Morikawa, Y., &#38; Schindlmayr, A. (2014). Theoretical investigation
    of the band structure of picene single crystals within the GW approximation. <i>Japanese
    Journal of Applied Physics</i>, <i>53</i>(5S1), Article 05FY02. <a href="https://doi.org/10.7567/jjap.53.05fy02">https://doi.org/10.7567/jjap.53.05fy02</a>
  bibtex: '@article{Yanagisawa_Morikawa_Schindlmayr_2014, title={Theoretical investigation
    of the band structure of picene single crystals within the GW approximation},
    volume={53}, DOI={<a href="https://doi.org/10.7567/jjap.53.05fy02">10.7567/jjap.53.05fy02</a>},
    number={5S105FY02}, journal={Japanese Journal of Applied Physics}, publisher={IOP
    Publishing and The Japan Society of Applied Physics}, author={Yanagisawa, Susumu
    and Morikawa, Yoshitada and Schindlmayr, Arno}, year={2014} }'
  chicago: Yanagisawa, Susumu, Yoshitada Morikawa, and Arno Schindlmayr. “Theoretical
    Investigation of the Band Structure of Picene Single Crystals within the GW Approximation.”
    <i>Japanese Journal of Applied Physics</i> 53, no. 5S1 (2014). <a href="https://doi.org/10.7567/jjap.53.05fy02">https://doi.org/10.7567/jjap.53.05fy02</a>.
  ieee: 'S. Yanagisawa, Y. Morikawa, and A. Schindlmayr, “Theoretical investigation
    of the band structure of picene single crystals within the GW approximation,”
    <i>Japanese Journal of Applied Physics</i>, vol. 53, no. 5S1, Art. no. 05FY02,
    2014, doi: <a href="https://doi.org/10.7567/jjap.53.05fy02">10.7567/jjap.53.05fy02</a>.'
  mla: Yanagisawa, Susumu, et al. “Theoretical Investigation of the Band Structure
    of Picene Single Crystals within the GW Approximation.” <i>Japanese Journal of
    Applied Physics</i>, vol. 53, no. 5S1, 05FY02, IOP Publishing and The Japan Society
    of Applied Physics, 2014, doi:<a href="https://doi.org/10.7567/jjap.53.05fy02">10.7567/jjap.53.05fy02</a>.
  short: S. Yanagisawa, Y. Morikawa, A. Schindlmayr, Japanese Journal of Applied Physics
    53 (2014).
date_created: 2020-08-27T21:21:24Z
date_updated: 2025-12-16T08:04:51Z
ddc:
- '530'
department:
- _id: '296'
- _id: '35'
- _id: '15'
- _id: '170'
- _id: '230'
doi: 10.7567/jjap.53.05fy02
external_id:
  isi:
  - '000338316200158'
file:
- access_level: closed
  content_type: application/pdf
  creator: schindlm
  date_created: 2020-08-28T14:28:20Z
  date_updated: 2020-08-30T14:52:27Z
  description: © 2014 The Japan Society of Applied Physics
  file_id: '18579'
  file_name: Yanagisawa_2014_Jpn._J._Appl._Phys._53_05FY02.pdf
  file_size: 588607
  relation: main_file
  title: Theoretical investigation of the band structure of picene single crystals
    within the GW approximation
file_date_updated: 2020-08-30T14:52:27Z
has_accepted_license: '1'
intvolume: '        53'
isi: '1'
issue: 5S1
language:
- iso: eng
publication: Japanese Journal of Applied Physics
publication_identifier:
  eissn:
  - 1347-4065
  issn:
  - 0021-4922
publication_status: published
publisher: IOP Publishing and The Japan Society of Applied Physics
quality_controlled: '1'
status: public
title: Theoretical investigation of the band structure of picene single crystals within
  the GW approximation
type: journal_article
user_id: '16199'
volume: 53
year: '2014'
...
---
_id: '18474'
author:
- first_name: Christoph
  full_name: Friedrich, Christoph
  last_name: Friedrich
- first_name: Arno
  full_name: Schindlmayr, Arno
  id: '458'
  last_name: Schindlmayr
  orcid: 0000-0002-4855-071X
citation:
  ama: 'Friedrich C, Schindlmayr A. Many-body perturbation theory: The GW approximation.
    In: Blügel S, Helbig N, Meden V, Wortmann D, eds. <i>Computing Solids: Models,
    Ab Initio Methods and Supercomputing</i>. Vol 74. Key Technologies. Forschungszentrum
    Jülich; 2014:A4.1-A4.21.'
  apa: 'Friedrich, C., &#38; Schindlmayr, A. (2014). Many-body perturbation theory:
    The GW approximation. In S. Blügel, N. Helbig, V. Meden, &#38; D. Wortmann (Eds.),
    <i>Computing Solids: Models, ab initio Methods and Supercomputing</i> (Vol. 74,
    p. A4.1-A4.21). Forschungszentrum Jülich.'
  bibtex: '@inbook{Friedrich_Schindlmayr_2014, place={Jülich}, series={Key Technologies},
    title={Many-body perturbation theory: The GW approximation}, volume={74}, booktitle={Computing
    Solids: Models, ab initio Methods and Supercomputing}, publisher={Forschungszentrum
    Jülich}, author={Friedrich, Christoph and Schindlmayr, Arno}, editor={Blügel,
    Stefan and Helbig, Nicole and Meden, Volker and Wortmann, Daniel}, year={2014},
    pages={A4.1-A4.21}, collection={Key Technologies} }'
  chicago: 'Friedrich, Christoph, and Arno Schindlmayr. “Many-Body Perturbation Theory:
    The GW Approximation.” In <i>Computing Solids: Models, Ab Initio Methods and Supercomputing</i>,
    edited by Stefan Blügel, Nicole Helbig, Volker Meden, and Daniel Wortmann, 74:A4.1-A4.21.
    Key Technologies. Jülich: Forschungszentrum Jülich, 2014.'
  ieee: 'C. Friedrich and A. Schindlmayr, “Many-body perturbation theory: The GW approximation,”
    in <i>Computing Solids: Models, ab initio Methods and Supercomputing</i>, vol.
    74, S. Blügel, N. Helbig, V. Meden, and D. Wortmann, Eds. Jülich: Forschungszentrum
    Jülich, 2014, p. A4.1-A4.21.'
  mla: 'Friedrich, Christoph, and Arno Schindlmayr. “Many-Body Perturbation Theory:
    The GW Approximation.” <i>Computing Solids: Models, Ab Initio Methods and Supercomputing</i>,
    edited by Stefan Blügel et al., vol. 74, Forschungszentrum Jülich, 2014, p. A4.1-A4.21.'
  short: 'C. Friedrich, A. Schindlmayr, in: S. Blügel, N. Helbig, V. Meden, D. Wortmann
    (Eds.), Computing Solids: Models, Ab Initio Methods and Supercomputing, Forschungszentrum
    Jülich, Jülich, 2014, p. A4.1-A4.21.'
conference:
  end_date: 2014-03-21
  location: Jülich
  name: 45th Spring School of the Institute of Solid State Research
  start_date: 2014-03-10
date_created: 2020-08-27T21:40:39Z
date_updated: 2025-12-16T08:07:31Z
ddc:
- '530'
department:
- _id: '296'
- _id: '35'
- _id: '15'
- _id: '170'
- _id: '230'
editor:
- first_name: Stefan
  full_name: Blügel, Stefan
  last_name: Blügel
- first_name: Nicole
  full_name: Helbig, Nicole
  last_name: Helbig
- first_name: Volker
  full_name: Meden, Volker
  last_name: Meden
- first_name: Daniel
  full_name: Wortmann, Daniel
  last_name: Wortmann
file:
- access_level: request
  content_type: application/pdf
  creator: schindlm
  date_created: 2020-10-05T10:57:49Z
  date_updated: 2022-01-06T06:53:34Z
  description: © 2014 Forschungszentrum Jülich
  file_id: '19876'
  file_name: A4-Friedrich.pdf
  file_size: 718521
  relation: main_file
  title: 'Many-body perturbation theory: The GW approximation'
file_date_updated: 2022-01-06T06:53:34Z
has_accepted_license: '1'
intvolume: '        74'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://hdl.handle.net/2128/8540
oa: '1'
page: A4.1-A4.21
place: Jülich
publication: 'Computing Solids: Models, ab initio Methods and Supercomputing'
publication_identifier:
  isbn:
  - 978-3-89336-912-6
  issn:
  - 1866-1807
publication_status: published
publisher: Forschungszentrum Jülich
series_title: Key Technologies
status: public
title: 'Many-body perturbation theory: The GW approximation'
type: book_chapter
user_id: '16199'
volume: 74
year: '2014'
...
---
_id: '40402'
article_number: '012017'
author:
- first_name: Polina
  full_name: Sharapova, Polina
  id: '60286'
  last_name: Sharapova
- first_name: O V
  full_name: Tikhonova, O V
  last_name: Tikhonova
citation:
  ama: 'Sharapova P, Tikhonova OV. Interaction of a classical laser field with a model
    Rydberg atom in a mixed state prepared by entanglement with few-photon quantum
    light. <i>Journal of Physics: Conference Series</i>. 2014;497. doi:<a href="https://doi.org/10.1088/1742-6596/497/1/012017">10.1088/1742-6596/497/1/012017</a>'
  apa: 'Sharapova, P., &#38; Tikhonova, O. V. (2014). Interaction of a classical laser
    field with a model Rydberg atom in a mixed state prepared by entanglement with
    few-photon quantum light. <i>Journal of Physics: Conference Series</i>, <i>497</i>,
    Article 012017. <a href="https://doi.org/10.1088/1742-6596/497/1/012017">https://doi.org/10.1088/1742-6596/497/1/012017</a>'
  bibtex: '@article{Sharapova_Tikhonova_2014, title={Interaction of a classical laser
    field with a model Rydberg atom in a mixed state prepared by entanglement with
    few-photon quantum light}, volume={497}, DOI={<a href="https://doi.org/10.1088/1742-6596/497/1/012017">10.1088/1742-6596/497/1/012017</a>},
    number={012017}, journal={Journal of Physics: Conference Series}, publisher={IOP
    Publishing}, author={Sharapova, Polina and Tikhonova, O V}, year={2014} }'
  chicago: 'Sharapova, Polina, and O V Tikhonova. “Interaction of a Classical Laser
    Field with a Model Rydberg Atom in a Mixed State Prepared by Entanglement with
    Few-Photon Quantum Light.” <i>Journal of Physics: Conference Series</i> 497 (2014).
    <a href="https://doi.org/10.1088/1742-6596/497/1/012017">https://doi.org/10.1088/1742-6596/497/1/012017</a>.'
  ieee: 'P. Sharapova and O. V. Tikhonova, “Interaction of a classical laser field
    with a model Rydberg atom in a mixed state prepared by entanglement with few-photon
    quantum light,” <i>Journal of Physics: Conference Series</i>, vol. 497, Art. no.
    012017, 2014, doi: <a href="https://doi.org/10.1088/1742-6596/497/1/012017">10.1088/1742-6596/497/1/012017</a>.'
  mla: 'Sharapova, Polina, and O. V. Tikhonova. “Interaction of a Classical Laser
    Field with a Model Rydberg Atom in a Mixed State Prepared by Entanglement with
    Few-Photon Quantum Light.” <i>Journal of Physics: Conference Series</i>, vol.
    497, 012017, IOP Publishing, 2014, doi:<a href="https://doi.org/10.1088/1742-6596/497/1/012017">10.1088/1742-6596/497/1/012017</a>.'
  short: 'P. Sharapova, O.V. Tikhonova, Journal of Physics: Conference Series 497
    (2014).'
date_created: 2023-01-26T14:31:48Z
date_updated: 2025-12-16T11:16:37Z
department:
- _id: '15'
- _id: '569'
- _id: '170'
- _id: '35'
doi: 10.1088/1742-6596/497/1/012017
intvolume: '       497'
keyword:
- General Physics and Astronomy
language:
- iso: eng
publication: 'Journal of Physics: Conference Series'
publication_identifier:
  issn:
  - 1742-6596
publication_status: published
publisher: IOP Publishing
status: public
title: Interaction of a classical laser field with a model Rydberg atom in a mixed
  state prepared by entanglement with few-photon quantum light
type: journal_article
user_id: '16199'
volume: 497
year: '2014'
...
---
_id: '40400'
article_number: '2403'
author:
- first_name: A. M.
  full_name: Pérez, A. M.
  last_name: Pérez
- first_name: T. Sh.
  full_name: Iskhakov, T. Sh.
  last_name: Iskhakov
- first_name: Polina
  full_name: Sharapova, Polina
  id: '60286'
  last_name: Sharapova
- first_name: S.
  full_name: Lemieux, S.
  last_name: Lemieux
- first_name: O. V.
  full_name: Tikhonova, O. V.
  last_name: Tikhonova
- first_name: M. V.
  full_name: Chekhova, M. V.
  last_name: Chekhova
- first_name: G.
  full_name: Leuchs, G.
  last_name: Leuchs
citation:
  ama: Pérez AM, Iskhakov TSh, Sharapova P, et al. Bright squeezed-vacuum source with
    11 spatial mode. <i>Optics Letters</i>. 2014;39(8). doi:<a href="https://doi.org/10.1364/ol.39.002403">10.1364/ol.39.002403</a>
  apa: Pérez, A. M., Iskhakov, T. Sh., Sharapova, P., Lemieux, S., Tikhonova, O. V.,
    Chekhova, M. V., &#38; Leuchs, G. (2014). Bright squeezed-vacuum source with 11
    spatial mode. <i>Optics Letters</i>, <i>39</i>(8), Article 2403. <a href="https://doi.org/10.1364/ol.39.002403">https://doi.org/10.1364/ol.39.002403</a>
  bibtex: '@article{Pérez_Iskhakov_Sharapova_Lemieux_Tikhonova_Chekhova_Leuchs_2014,
    title={Bright squeezed-vacuum source with 11 spatial mode}, volume={39}, DOI={<a
    href="https://doi.org/10.1364/ol.39.002403">10.1364/ol.39.002403</a>}, number={82403},
    journal={Optics Letters}, publisher={The Optical Society}, author={Pérez, A. M.
    and Iskhakov, T. Sh. and Sharapova, Polina and Lemieux, S. and Tikhonova, O. V.
    and Chekhova, M. V. and Leuchs, G.}, year={2014} }'
  chicago: Pérez, A. M., T. Sh. Iskhakov, Polina Sharapova, S. Lemieux, O. V. Tikhonova,
    M. V. Chekhova, and G. Leuchs. “Bright Squeezed-Vacuum Source with 11 Spatial
    Mode.” <i>Optics Letters</i> 39, no. 8 (2014). <a href="https://doi.org/10.1364/ol.39.002403">https://doi.org/10.1364/ol.39.002403</a>.
  ieee: 'A. M. Pérez <i>et al.</i>, “Bright squeezed-vacuum source with 11 spatial
    mode,” <i>Optics Letters</i>, vol. 39, no. 8, Art. no. 2403, 2014, doi: <a href="https://doi.org/10.1364/ol.39.002403">10.1364/ol.39.002403</a>.'
  mla: Pérez, A. M., et al. “Bright Squeezed-Vacuum Source with 11 Spatial Mode.”
    <i>Optics Letters</i>, vol. 39, no. 8, 2403, The Optical Society, 2014, doi:<a
    href="https://doi.org/10.1364/ol.39.002403">10.1364/ol.39.002403</a>.
  short: A.M. Pérez, T.Sh. Iskhakov, P. Sharapova, S. Lemieux, O.V. Tikhonova, M.V.
    Chekhova, G. Leuchs, Optics Letters 39 (2014).
date_created: 2023-01-26T14:31:00Z
date_updated: 2025-12-16T11:17:02Z
department:
- _id: '15'
- _id: '569'
- _id: '170'
- _id: '35'
- _id: '230'
doi: 10.1364/ol.39.002403
intvolume: '        39'
issue: '8'
keyword:
- Atomic and Molecular Physics
- and Optics
language:
- iso: eng
publication: Optics Letters
publication_identifier:
  issn:
  - 0146-9592
  - 1539-4794
publication_status: published
publisher: The Optical Society
status: public
title: Bright squeezed-vacuum source with 11 spatial mode
type: journal_article
user_id: '16199'
volume: 39
year: '2014'
...
---
_id: '43198'
abstract:
- lang: eng
  text: Ultrafast charge transport in strongly biased semiconductors is at the heart
    of high-speed electronics, electro-optics and fundamental solid-state physics1,2,3,4,5,6,7,8,9,10,11,12,13.
    Intense light pulses in the terahertz spectral range have opened fascinating vistas14,15,16,17,18,19,20,21.
    Because terahertz photon energies are far below typical electronic interband resonances,
    a stable electromagnetic waveform may serve as a precisely adjustable bias5,11,17,19.
    Novel quantum phenomena have been anticipated for terahertz amplitudes, reaching
    atomic field strengths8,9,10. We exploit controlled (multi-)terahertz waveforms
    with peak fields of 72 MV cm−1 to drive coherent interband polarization combined
    with dynamical Bloch oscillations in semiconducting gallium selenide. These dynamics
    entail the emission of phase-stable high-harmonic transients, covering the entire
    terahertz-to-visible spectral domain between 0.1 and 675 THz. Quantum interference
    of different ionization paths of accelerated charge carriers is controlled via
    the waveform of the driving field and explained by a quantum theory of inter-
    and intraband dynamics. Our results pave the way towards all-coherent terahertz-rate
    electronics.
article_number: 119-123
author:
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
- first_name: O.
  full_name: Schubert, O.
  last_name: Schubert
- first_name: M.
  full_name: Hohenleutner, M.
  last_name: Hohenleutner
- first_name: F.
  full_name: Langer, F.
  last_name: Langer
- first_name: B.
  full_name: Urbanek, B.
  last_name: Urbanek
- first_name: C.
  full_name: Lange, C.
  last_name: Lange
- first_name: U.
  full_name: Huttner, U.
  last_name: Huttner
- first_name: D.
  full_name: Golde, D.
  last_name: Golde
- first_name: M.
  full_name: Kira, M.
  last_name: Kira
- first_name: S. W.
  full_name: Koch, S. W.
  last_name: Koch
- first_name: R.
  full_name: Huber, R.
  last_name: Huber
citation:
  ama: Meier T, Schubert O, Hohenleutner M, et al. Sub-cycle control of terahertz
    high-harmonic generation by dynamical Bloch oscillations. <i>Nature Photonics</i>.
    2014;8(2). doi:<a href="https://doi.org/10.1038/nphoton.2013.349">10.1038/nphoton.2013.349</a>
  apa: Meier, T., Schubert, O., Hohenleutner, M., Langer, F., Urbanek, B., Lange,
    C., Huttner, U., Golde, D., Kira, M., Koch, S. W., &#38; Huber, R. (2014). Sub-cycle
    control of terahertz high-harmonic generation by dynamical Bloch oscillations.
    <i>Nature Photonics</i>, <i>8</i>(2), Article 119–123. <a href="https://doi.org/10.1038/nphoton.2013.349">https://doi.org/10.1038/nphoton.2013.349</a>
  bibtex: '@article{Meier_Schubert_Hohenleutner_Langer_Urbanek_Lange_Huttner_Golde_Kira_Koch_et
    al._2014, title={Sub-cycle control of terahertz high-harmonic generation by dynamical
    Bloch oscillations}, volume={8}, DOI={<a href="https://doi.org/10.1038/nphoton.2013.349">10.1038/nphoton.2013.349</a>},
    number={2119–123}, journal={Nature Photonics}, publisher={Nature Publishing Group},
    author={Meier, Torsten and Schubert, O. and Hohenleutner, M. and Langer, F. and
    Urbanek, B. and Lange, C. and Huttner, U. and Golde, D. and Kira, M. and Koch,
    S. W. and et al.}, year={2014} }'
  chicago: Meier, Torsten, O. Schubert, M. Hohenleutner, F. Langer, B. Urbanek, C.
    Lange, U. Huttner, et al. “Sub-Cycle Control of Terahertz High-Harmonic Generation
    by Dynamical Bloch Oscillations.” <i>Nature Photonics</i> 8, no. 2 (2014). <a
    href="https://doi.org/10.1038/nphoton.2013.349">https://doi.org/10.1038/nphoton.2013.349</a>.
  ieee: 'T. Meier <i>et al.</i>, “Sub-cycle control of terahertz high-harmonic generation
    by dynamical Bloch oscillations,” <i>Nature Photonics</i>, vol. 8, no. 2, Art.
    no. 119–123, 2014, doi: <a href="https://doi.org/10.1038/nphoton.2013.349">10.1038/nphoton.2013.349</a>.'
  mla: Meier, Torsten, et al. “Sub-Cycle Control of Terahertz High-Harmonic Generation
    by Dynamical Bloch Oscillations.” <i>Nature Photonics</i>, vol. 8, no. 2, 119–123,
    Nature Publishing Group, 2014, doi:<a href="https://doi.org/10.1038/nphoton.2013.349">10.1038/nphoton.2013.349</a>.
  short: T. Meier, O. Schubert, M. Hohenleutner, F. Langer, B. Urbanek, C. Lange,
    U. Huttner, D. Golde, M. Kira, S.W. Koch, R. Huber, Nature Photonics 8 (2014).
date_created: 2023-03-29T21:14:30Z
date_updated: 2025-12-16T16:48:01Z
department:
- _id: '293'
- _id: '35'
- _id: '15'
- _id: '170'
- _id: '230'
doi: 10.1038/nphoton.2013.349
intvolume: '         8'
issue: '2'
language:
- iso: eng
publication: Nature Photonics
publisher: Nature Publishing Group
status: public
title: Sub-cycle control of terahertz high-harmonic generation by dynamical Bloch
  oscillations
type: journal_article
user_id: '16199'
volume: 8
year: '2014'
...
---
_id: '43251'
abstract:
- lang: eng
  text: The nonadiabatic dynamics of a many-body system driven through a quantum critical
    point can be controlled using counterdiabatic driving, where the formation of
    excitations is suppressed by assisting the dynamics with auxiliary multiple-body
    nonlocal interactions. We propose an alternative scheme which circumvents practical
    challenges to realize shortcuts to adiabaticity in mesoscopic systems by tailoring
    the functional form of the auxiliary counterdiabatic interactions. A driving scheme
    resorting in short-range few-body interactions is shown to generate an effectively
    adiabatic dynamics.
article_number: 060301(R)
author:
- first_name: H.
  full_name: Saberi, H.
  last_name: Saberi
- first_name: T.
  full_name: Opatrný, T.
  last_name: Opatrný
- first_name: K.
  full_name: Mølmer, K.
  last_name: Mølmer
- first_name: A.
  full_name: del Campo,, A.
  last_name: del Campo,
citation:
  ama: Saberi H, Opatrný T, Mølmer K, del Campo, A. Adiabatic tracking of quantum
    many-body dynamics. <i>Physical Review A</i>. 2014;90(6). doi:<a href="https://doi.org/10.1103/PhysRevA.90.060301">10.1103/PhysRevA.90.060301</a>
  apa: Saberi, H., Opatrný, T., Mølmer, K., &#38; del Campo, A. (2014). Adiabatic
    tracking of quantum many-body dynamics. <i>Physical Review A</i>, <i>90</i>(6),
    Article 060301(R). <a href="https://doi.org/10.1103/PhysRevA.90.060301">https://doi.org/10.1103/PhysRevA.90.060301</a>
  bibtex: '@article{Saberi_Opatrný_Mølmer_del Campo,_2014, title={Adiabatic tracking
    of quantum many-body dynamics}, volume={90}, DOI={<a href="https://doi.org/10.1103/PhysRevA.90.060301">10.1103/PhysRevA.90.060301</a>},
    number={6060301(R)}, journal={Physical Review A}, author={Saberi, H. and Opatrný,
    T. and Mølmer, K. and del Campo, A.}, year={2014} }'
  chicago: Saberi, H., T. Opatrný, K. Mølmer, and A. del Campo,. “Adiabatic Tracking
    of Quantum Many-Body Dynamics.” <i>Physical Review A</i> 90, no. 6 (2014). <a
    href="https://doi.org/10.1103/PhysRevA.90.060301">https://doi.org/10.1103/PhysRevA.90.060301</a>.
  ieee: 'H. Saberi, T. Opatrný, K. Mølmer, and A. del Campo, “Adiabatic tracking of
    quantum many-body dynamics,” <i>Physical Review A</i>, vol. 90, no. 6, Art. no.
    060301(R), 2014, doi: <a href="https://doi.org/10.1103/PhysRevA.90.060301">10.1103/PhysRevA.90.060301</a>.'
  mla: Saberi, H., et al. “Adiabatic Tracking of Quantum Many-Body Dynamics.” <i>Physical
    Review A</i>, vol. 90, no. 6, 060301(R), 2014, doi:<a href="https://doi.org/10.1103/PhysRevA.90.060301">10.1103/PhysRevA.90.060301</a>.
  short: H. Saberi, T. Opatrný, K. Mølmer, A. del Campo, Physical Review A 90 (2014).
date_created: 2023-04-01T20:56:48Z
date_updated: 2025-12-16T16:51:07Z
department:
- _id: '293'
- _id: '35'
- _id: '15'
- _id: '170'
- _id: '230'
doi: 10.1103/PhysRevA.90.060301
intvolume: '        90'
issue: '6'
language:
- iso: eng
main_file_link:
- url: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.90.060301
publication: Physical Review A
publication_status: published
status: public
title: Adiabatic tracking of quantum many-body dynamics
type: journal_article
user_id: '16199'
volume: 90
year: '2014'
...
---
_id: '5036'
author:
- first_name: Rene
  full_name: Fahr, Rene
  id: '111'
  last_name: Fahr
- first_name: Elmar A.
  full_name: Janssen, Elmar A.
  last_name: Janssen
- first_name: Caren
  full_name: Sureth-Sloane, Caren
  id: '530'
  last_name: Sureth-Sloane
  orcid: ' 0000-0002-8183-5901'
citation:
  ama: Fahr R, Janssen EA, Sureth-Sloane C. <i>Can Tax Rate Changes Accelerate Investment
    Under Entry and Exit Flexibility? - Insights from an Economic Experiment</i>.
    Vol 166.; 2014.
  apa: Fahr, R., Janssen, E. A., &#38; Sureth-Sloane, C. (2014). <i>Can Tax Rate Changes
    Accelerate Investment Under Entry and Exit Flexibility? - Insights from an Economic
    Experiment</i> (Vol. 166).
  bibtex: '@book{Fahr_Janssen_Sureth-Sloane_2014, series={arqus, Quantitative Research
    in Taxation}, title={Can Tax Rate Changes Accelerate Investment Under Entry and
    Exit Flexibility? - Insights from an Economic Experiment}, volume={166}, author={Fahr,
    Rene and Janssen, Elmar A. and Sureth-Sloane, Caren}, year={2014}, collection={arqus,
    Quantitative Research in Taxation} }'
  chicago: Fahr, Rene, Elmar A. Janssen, and Caren Sureth-Sloane. <i>Can Tax Rate
    Changes Accelerate Investment Under Entry and Exit Flexibility? - Insights from
    an Economic Experiment</i>. Vol. 166. arqus, Quantitative Research in Taxation,
    2014.
  ieee: R. Fahr, E. A. Janssen, and C. Sureth-Sloane, <i>Can Tax Rate Changes Accelerate
    Investment Under Entry and Exit Flexibility? - Insights from an Economic Experiment</i>,
    vol. 166. 2014.
  mla: Fahr, Rene, et al. <i>Can Tax Rate Changes Accelerate Investment Under Entry
    and Exit Flexibility? - Insights from an Economic Experiment</i>. 2014.
  short: R. Fahr, E.A. Janssen, C. Sureth-Sloane, Can Tax Rate Changes Accelerate
    Investment Under Entry and Exit Flexibility? - Insights from an Economic Experiment,
    2014.
date_created: 2018-10-30T13:41:42Z
date_updated: 2026-01-10T10:19:19Z
department:
- _id: '187'
- _id: '179'
- _id: '635'
intvolume: '       166'
language:
- iso: ger
series_title: arqus, Quantitative Research in Taxation
status: public
title: Can Tax Rate Changes Accelerate Investment Under Entry and Exit Flexibility?
  - Insights from an Economic Experiment
type: working_paper
user_id: '530'
volume: 166
year: '2014'
...
---
_id: '57163'
author:
- first_name: Isabell
  full_name: Bausch, Isabell
  last_name: Bausch
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Regina
  full_name: Bruder, Regina
  last_name: Bruder
- first_name: Pascal R.
  full_name: Fischer, Pascal R.
  last_name: Fischer
- first_name: Reinhard
  full_name: Hochmuth, Reinhard
  last_name: Hochmuth
- first_name: Wolfram
  full_name: Koepf, Wolfram
  last_name: Koepf
- first_name: Thomas
  full_name: Wassong, Thomas
  last_name: Wassong
citation:
  ama: 'Bausch I, Biehler R, Bruder R, et al. VEMINT – Interaktives Lernmaterial für
    mathematische Vor- und Brückenkurse. In: Bausch I, Biehler R, Bruder R, et al.,
    eds. <i>Mathematische Vor- und Brückenkurse: Konzepte, Probleme und Perspektiven</i>.
    Springer Fachmedien Wiesbaden; 2014:261-276. doi:<a href="https://doi.org/10.1007/978-3-658-03065-0_18">10.1007/978-3-658-03065-0_18</a>'
  apa: 'Bausch, I., Biehler, R., Bruder, R., Fischer, P. R., Hochmuth, R., Koepf,
    W., &#38; Wassong, T. (2014). VEMINT – Interaktives Lernmaterial für mathematische
    Vor- und Brückenkurse. In I. Bausch, R. Biehler, R. Bruder, P. Fischer, R. Hochmuth,
    W. Koepf, S. Schreiber, &#38; T. Wassong (Eds.), <i>Mathematische Vor- und Brückenkurse:
    Konzepte, Probleme und Perspektiven</i> (pp. 261–276). Springer Fachmedien Wiesbaden.
    <a href="https://doi.org/10.1007/978-3-658-03065-0_18">https://doi.org/10.1007/978-3-658-03065-0_18</a>'
  bibtex: '@inbook{Bausch_Biehler_Bruder_Fischer_Hochmuth_Koepf_Wassong_2014, place={Wiesbaden},
    title={VEMINT – Interaktives Lernmaterial für mathematische Vor- und Brückenkurse},
    DOI={<a href="https://doi.org/10.1007/978-3-658-03065-0_18">10.1007/978-3-658-03065-0_18</a>},
    booktitle={Mathematische Vor- und Brückenkurse: Konzepte, Probleme und Perspektiven},
    publisher={Springer Fachmedien Wiesbaden}, author={Bausch, Isabell and Biehler,
    Rolf and Bruder, Regina and Fischer, Pascal R. and Hochmuth, Reinhard and Koepf,
    Wolfram and Wassong, Thomas}, editor={Bausch, I. and Biehler, Rolf and Bruder,
    Regina and Fischer, Pascal and Hochmuth, Reinhard and Koepf, W. and Schreiber,
    S. and Wassong, Thomas}, year={2014}, pages={261–276} }'
  chicago: 'Bausch, Isabell, Rolf Biehler, Regina Bruder, Pascal R. Fischer, Reinhard
    Hochmuth, Wolfram Koepf, and Thomas Wassong. “VEMINT – Interaktives Lernmaterial
    für mathematische Vor- und Brückenkurse.” In <i>Mathematische Vor- und Brückenkurse:
    Konzepte, Probleme und Perspektiven</i>, edited by I. Bausch, Rolf Biehler, Regina
    Bruder, Pascal Fischer, Reinhard Hochmuth, W. Koepf, S. Schreiber, and Thomas
    Wassong, 261–76. Wiesbaden: Springer Fachmedien Wiesbaden, 2014. <a href="https://doi.org/10.1007/978-3-658-03065-0_18">https://doi.org/10.1007/978-3-658-03065-0_18</a>.'
  ieee: 'I. Bausch <i>et al.</i>, “VEMINT – Interaktives Lernmaterial für mathematische
    Vor- und Brückenkurse,” in <i>Mathematische Vor- und Brückenkurse: Konzepte, Probleme
    und Perspektiven</i>, I. Bausch, R. Biehler, R. Bruder, P. Fischer, R. Hochmuth,
    W. Koepf, S. Schreiber, and T. Wassong, Eds. Wiesbaden: Springer Fachmedien Wiesbaden,
    2014, pp. 261–276.'
  mla: 'Bausch, Isabell, et al. “VEMINT – Interaktives Lernmaterial für mathematische
    Vor- und Brückenkurse.” <i>Mathematische Vor- und Brückenkurse: Konzepte, Probleme
    und Perspektiven</i>, edited by I. Bausch et al., Springer Fachmedien Wiesbaden,
    2014, pp. 261–76, doi:<a href="https://doi.org/10.1007/978-3-658-03065-0_18">10.1007/978-3-658-03065-0_18</a>.'
  short: 'I. Bausch, R. Biehler, R. Bruder, P.R. Fischer, R. Hochmuth, W. Koepf, T.
    Wassong, in: I. Bausch, R. Biehler, R. Bruder, P. Fischer, R. Hochmuth, W. Koepf,
    S. Schreiber, T. Wassong (Eds.), Mathematische Vor- und Brückenkurse: Konzepte,
    Probleme und Perspektiven, Springer Fachmedien Wiesbaden, Wiesbaden, 2014, pp.
    261–276.'
date_created: 2024-11-18T09:41:56Z
date_updated: 2024-11-18T09:44:39Z
department:
- _id: '363'
doi: 10.1007/978-3-658-03065-0_18
editor:
- first_name: I.
  full_name: Bausch, I.
  last_name: Bausch
- first_name: Rolf
  full_name: Biehler, Rolf
  last_name: Biehler
- first_name: Regina
  full_name: Bruder, Regina
  last_name: Bruder
- first_name: Pascal
  full_name: Fischer, Pascal
  last_name: Fischer
- first_name: Reinhard
  full_name: Hochmuth, Reinhard
  last_name: Hochmuth
- first_name: W.
  full_name: Koepf, W.
  last_name: Koepf
- first_name: S.
  full_name: Schreiber, S.
  last_name: Schreiber
- first_name: Thomas
  full_name: Wassong, Thomas
  last_name: Wassong
language:
- iso: ger
main_file_link:
- url: https://link.springer.com/chapter/10.1007/978-3-658-03065-0_18
page: 261-276
place: Wiesbaden
publication: 'Mathematische Vor- und Brückenkurse: Konzepte, Probleme und Perspektiven'
publication_identifier:
  isbn:
  - '9783658030643'
  - '9783658030650'
  issn:
  - 2197-8751
  - 2197-876X
publication_status: published
publisher: Springer Fachmedien Wiesbaden
status: public
title: VEMINT – Interaktives Lernmaterial für mathematische Vor- und Brückenkurse
type: book_chapter
user_id: '37888'
year: '2014'
...
---
_id: '57168'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
citation:
  ama: 'Biehler R. Discussion of Part I - Transitions in Learning Mathematics as a
    Challenge for People and Institutions. In: Rezat S, Hattermann M, Peter-Koop A,
    eds. <i>Transformation—A Fundamental Idea of Mathematics Education</i>. Springer;
    2014:127-134. doi:<a href="https://doi.org/10.1007/978-1-4614-3489-4_18">10.1007/978-1-4614-3489-4_18</a>'
  apa: Biehler, R. (2014). Discussion of Part I - Transitions in Learning Mathematics
    as a Challenge for People and Institutions. In S. Rezat, M. Hattermann, &#38;
    A. Peter-Koop (Eds.), <i>Transformation—A Fundamental Idea of Mathematics Education</i>
    (pp. 127–134). Springer. <a href="https://doi.org/10.1007/978-1-4614-3489-4_18">https://doi.org/10.1007/978-1-4614-3489-4_18</a>
  bibtex: '@inbook{Biehler_2014, place={Dordrecht, The Netherlands}, title={Discussion
    of Part I - Transitions in Learning Mathematics as a Challenge for People and
    Institutions}, DOI={<a href="https://doi.org/10.1007/978-1-4614-3489-4_18">10.1007/978-1-4614-3489-4_18</a>},
    booktitle={Transformation—A Fundamental Idea of Mathematics Education}, publisher={Springer},
    author={Biehler, Rolf}, editor={Rezat, Sebastian and Hattermann, Mathias and Peter-Koop,
    Andrea}, year={2014}, pages={127–134} }'
  chicago: 'Biehler, Rolf. “Discussion of Part I - Transitions in Learning Mathematics
    as a Challenge for People and Institutions.” In <i>Transformation—A Fundamental
    Idea of Mathematics Education</i>, edited by Sebastian Rezat, Mathias Hattermann,
    and Andrea Peter-Koop, 127–34. Dordrecht, The Netherlands: Springer, 2014. <a
    href="https://doi.org/10.1007/978-1-4614-3489-4_18">https://doi.org/10.1007/978-1-4614-3489-4_18</a>.'
  ieee: 'R. Biehler, “Discussion of Part I - Transitions in Learning Mathematics as
    a Challenge for People and Institutions,” in <i>Transformation—A Fundamental Idea
    of Mathematics Education</i>, S. Rezat, M. Hattermann, and A. Peter-Koop, Eds.
    Dordrecht, The Netherlands: Springer, 2014, pp. 127–134.'
  mla: Biehler, Rolf. “Discussion of Part I - Transitions in Learning Mathematics
    as a Challenge for People and Institutions.” <i>Transformation—A Fundamental Idea
    of Mathematics Education</i>, edited by Sebastian Rezat et al., Springer, 2014,
    pp. 127–34, doi:<a href="https://doi.org/10.1007/978-1-4614-3489-4_18">10.1007/978-1-4614-3489-4_18</a>.
  short: 'R. Biehler, in: S. Rezat, M. Hattermann, A. Peter-Koop (Eds.), Transformation—A
    Fundamental Idea of Mathematics Education, Springer, Dordrecht, The Netherlands,
    2014, pp. 127–134.'
date_created: 2024-11-18T09:58:46Z
date_updated: 2024-11-18T09:58:55Z
department:
- _id: '363'
doi: 10.1007/978-1-4614-3489-4_18
editor:
- first_name: Sebastian
  full_name: Rezat, Sebastian
  last_name: Rezat
- first_name: Mathias
  full_name: Hattermann, Mathias
  last_name: Hattermann
- first_name: Andrea
  full_name: Peter-Koop, Andrea
  last_name: Peter-Koop
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/chapter/10.1007/978-1-4614-3489-4_18
page: 127-134
place: Dordrecht, The Netherlands
publication: Transformation—A Fundamental Idea of Mathematics Education
publisher: Springer
status: public
title: Discussion of Part I - Transitions in Learning Mathematics as a Challenge for
  People and Institutions
type: book_chapter
user_id: '37888'
year: '2014'
...
---
_id: '57166'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
citation:
  ama: 'Biehler R. Die Gesetze der großen Zahlen als heuristische Hilfsmittel zur
    Begriffsbildung in der Stochastik. In: Sproesser U, Wessolowski S, Wörn C, eds.
    <i>Daten, Zufall und der Rest der Welt: Didaktische Perspektiven zur anwendungsbezogenen
    Mathematik</i>. Springer Spektrum; 2014:13–26.'
  apa: 'Biehler, R. (2014). Die Gesetze der großen Zahlen als heuristische Hilfsmittel
    zur Begriffsbildung in der Stochastik. In U. Sproesser, S. Wessolowski, &#38;
    C. Wörn (Eds.), <i>Daten, Zufall und der Rest der Welt: Didaktische Perspektiven
    zur anwendungsbezogenen Mathematik</i> (pp. 13–26). Springer Spektrum.'
  bibtex: '@inbook{Biehler_2014, place={Heidelberg}, title={Die Gesetze der großen
    Zahlen als heuristische Hilfsmittel zur Begriffsbildung in der Stochastik}, booktitle={Daten,
    Zufall und der Rest der Welt: Didaktische Perspektiven zur anwendungsbezogenen
    Mathematik}, publisher={Springer Spektrum}, author={Biehler, Rolf}, editor={Sproesser,
    U. and Wessolowski, S. and Wörn, C.}, year={2014}, pages={13–26} }'
  chicago: 'Biehler, Rolf. “Die Gesetze der großen Zahlen als heuristische Hilfsmittel
    zur Begriffsbildung in der Stochastik.” In <i>Daten, Zufall und der Rest der Welt:
    Didaktische Perspektiven zur anwendungsbezogenen Mathematik</i>, edited by U.
    Sproesser, S. Wessolowski, and C. Wörn, 13–26. Heidelberg: Springer Spektrum,
    2014.'
  ieee: 'R. Biehler, “Die Gesetze der großen Zahlen als heuristische Hilfsmittel zur
    Begriffsbildung in der Stochastik,” in <i>Daten, Zufall und der Rest der Welt:
    Didaktische Perspektiven zur anwendungsbezogenen Mathematik</i>, U. Sproesser,
    S. Wessolowski, and C. Wörn, Eds. Heidelberg: Springer Spektrum, 2014, pp. 13–26.'
  mla: 'Biehler, Rolf. “Die Gesetze der großen Zahlen als heuristische Hilfsmittel
    zur Begriffsbildung in der Stochastik.” <i>Daten, Zufall und der Rest der Welt:
    Didaktische Perspektiven zur anwendungsbezogenen Mathematik</i>, edited by U.
    Sproesser et al., Springer Spektrum, 2014, pp. 13–26.'
  short: 'R. Biehler, in: U. Sproesser, S. Wessolowski, C. Wörn (Eds.), Daten, Zufall
    und der Rest der Welt: Didaktische Perspektiven zur anwendungsbezogenen Mathematik,
    Springer Spektrum, Heidelberg, 2014, pp. 13–26.'
date_created: 2024-11-18T09:50:50Z
date_updated: 2024-11-18T09:53:48Z
department:
- _id: '363'
editor:
- first_name: U.
  full_name: Sproesser, U.
  last_name: Sproesser
- first_name: S.
  full_name: Wessolowski, S.
  last_name: Wessolowski
- first_name: C.
  full_name: Wörn, C.
  last_name: Wörn
language:
- iso: ger
main_file_link:
- url: https://link.springer.com/chapter/10.1007/978-3-658-04669-9_2
page: 13–26
place: Heidelberg
publication: 'Daten, Zufall und der Rest der Welt: Didaktische Perspektiven zur anwendungsbezogenen
  Mathematik'
publisher: Springer Spektrum
status: public
title: Die Gesetze der großen Zahlen als heuristische Hilfsmittel zur Begriffsbildung
  in der Stochastik
type: book_chapter
user_id: '37888'
year: '2014'
...
---
_id: '57170'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
citation:
  ama: 'Biehler R. Leitidee Daten und Zufall – Fundamentale Ideen aus Sicht der angewandten
    Stochastik. In: Linneweber-Lammerskitten H, ed. <i>Fachdidaktik Mathematik-Grundbildung
    Und Kompetenzaufbau Im Unterricht Der Sekundarstufe I Und II</i>. Kallmeyer; 2014.'
  apa: Biehler, R. (2014). Leitidee Daten und Zufall – Fundamentale Ideen aus Sicht
    der angewandten Stochastik. In H. Linneweber-Lammerskitten (Ed.), <i>Fachdidaktik
    Mathematik-Grundbildung und Kompetenzaufbau im Unterricht der Sekundarstufe I
    und II</i>. Kallmeyer.
  bibtex: '@inbook{Biehler_2014, place={Seelze}, title={Leitidee Daten und Zufall
    – Fundamentale Ideen aus Sicht der angewandten Stochastik}, booktitle={Fachdidaktik
    Mathematik-Grundbildung und Kompetenzaufbau im Unterricht der Sekundarstufe I
    und II}, publisher={Kallmeyer}, author={Biehler, Rolf}, editor={Linneweber-Lammerskitten,
    H.}, year={2014} }'
  chicago: 'Biehler, Rolf. “Leitidee Daten Und Zufall – Fundamentale Ideen Aus Sicht
    Der Angewandten Stochastik.” In <i>Fachdidaktik Mathematik-Grundbildung Und Kompetenzaufbau
    Im Unterricht Der Sekundarstufe I Und II</i>, edited by H. Linneweber-Lammerskitten.
    Seelze: Kallmeyer, 2014.'
  ieee: 'R. Biehler, “Leitidee Daten und Zufall – Fundamentale Ideen aus Sicht der
    angewandten Stochastik,” in <i>Fachdidaktik Mathematik-Grundbildung und Kompetenzaufbau
    im Unterricht der Sekundarstufe I und II</i>, H. Linneweber-Lammerskitten, Ed.
    Seelze: Kallmeyer, 2014.'
  mla: Biehler, Rolf. “Leitidee Daten Und Zufall – Fundamentale Ideen Aus Sicht Der
    Angewandten Stochastik.” <i>Fachdidaktik Mathematik-Grundbildung Und Kompetenzaufbau
    Im Unterricht Der Sekundarstufe I Und II</i>, edited by H. Linneweber-Lammerskitten,
    Kallmeyer, 2014.
  short: 'R. Biehler, in: H. Linneweber-Lammerskitten (Ed.), Fachdidaktik Mathematik-Grundbildung
    Und Kompetenzaufbau Im Unterricht Der Sekundarstufe I Und II, Kallmeyer, Seelze,
    2014.'
date_created: 2024-11-18T09:59:31Z
date_updated: 2024-11-18T10:00:37Z
department:
- _id: '363'
editor:
- first_name: H.
  full_name: Linneweber-Lammerskitten, H.
  last_name: Linneweber-Lammerskitten
language:
- iso: eng
place: Seelze
publication: Fachdidaktik Mathematik-Grundbildung und Kompetenzaufbau im Unterricht
  der Sekundarstufe I und II
publisher: Kallmeyer
status: public
title: Leitidee Daten und Zufall – Fundamentale Ideen aus Sicht der angewandten Stochastik
type: book_chapter
user_id: '37888'
year: '2014'
...
---
_id: '57164'
citation:
  ama: Bausch I, Biehler R, Bruder R, et al., eds. <i>Mathematische Vor-Und Brückenkurse,
    Konzepte, Probleme Und Perspektiven</i>. Springer Spektrum; 2014.
  apa: Bausch, I., Biehler, R., Bruder, R., Fischer, P., Hochmuth, R., Koepf, W.,
    Schreiber, S., &#38; Wassong, T. (Eds.). (2014). <i>Mathematische Vor-und Brückenkurse,
    Konzepte, Probleme und Perspektiven</i>. Springer Spektrum.
  bibtex: '@book{Bausch_Biehler_Bruder_Fischer_Hochmuth_Koepf_Schreiber_Wassong_2014,
    place={Wiesbaden}, title={Mathematische Vor-und Brückenkurse, Konzepte, Probleme
    und Perspektiven}, publisher={Springer Spektrum}, year={2014} }'
  chicago: 'Bausch, I., Rolf Biehler, Regina Bruder, Pascal Fischer, Reinhard Hochmuth,
    W. Koepf, S. Schreiber, and Thomas Wassong, eds. <i>Mathematische Vor-Und Brückenkurse,
    Konzepte, Probleme Und Perspektiven</i>. Wiesbaden: Springer Spektrum, 2014.'
  ieee: 'I. Bausch <i>et al.</i>, Eds., <i>Mathematische Vor-und Brückenkurse, Konzepte,
    Probleme und Perspektiven</i>. Wiesbaden: Springer Spektrum, 2014.'
  mla: Bausch, I., et al., editors. <i>Mathematische Vor-Und Brückenkurse, Konzepte,
    Probleme Und Perspektiven</i>. Springer Spektrum, 2014.
  short: I. Bausch, R. Biehler, R. Bruder, P. Fischer, R. Hochmuth, W. Koepf, S. Schreiber,
    T. Wassong, eds., Mathematische Vor-Und Brückenkurse, Konzepte, Probleme Und Perspektiven,
    Springer Spektrum, Wiesbaden, 2014.
date_created: 2024-11-18T09:45:54Z
date_updated: 2024-11-18T09:54:12Z
department:
- _id: '363'
editor:
- first_name: I.
  full_name: Bausch, I.
  last_name: Bausch
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Regina
  full_name: Bruder, Regina
  last_name: Bruder
- first_name: Pascal
  full_name: Fischer, Pascal
  last_name: Fischer
- first_name: Reinhard
  full_name: Hochmuth, Reinhard
  last_name: Hochmuth
- first_name: W.
  full_name: Koepf, W.
  last_name: Koepf
- first_name: S.
  full_name: Schreiber, S.
  last_name: Schreiber
- first_name: Thomas
  full_name: Wassong, Thomas
  last_name: Wassong
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/book/10.1007/978-3-658-03065-0
place: Wiesbaden
publisher: Springer Spektrum
status: public
title: Mathematische Vor-und Brückenkurse, Konzepte, Probleme und Perspektiven
type: book_editor
user_id: '37888'
year: '2014'
...
---
_id: '57152'
citation:
  ama: 'Bürgel C, Siepmann D, eds. <i>Sprachwissenschaft und Fremdsprachenunterricht:
    Spracherwerb und Sprachkompetenzen im Fokus</i>. Schneider; 2014.'
  apa: 'Bürgel, C., &#38; Siepmann, D. (Eds.). (2014). <i>Sprachwissenschaft und Fremdsprachenunterricht:
    Spracherwerb und Sprachkompetenzen im Fokus</i>. Schneider.'
  bibtex: '@book{Bürgel_Siepmann_2014, place={Baltmannsweiler}, title={Sprachwissenschaft
    und Fremdsprachenunterricht: Spracherwerb und Sprachkompetenzen im Fokus}, publisher={Schneider},
    year={2014} }'
  chicago: 'Bürgel, Christoph, and Dirk  Siepmann, eds. <i>Sprachwissenschaft und
    Fremdsprachenunterricht: Spracherwerb und Sprachkompetenzen im Fokus</i>. Baltmannsweiler:
    Schneider, 2014.'
  ieee: 'C. Bürgel and D. Siepmann, Eds., <i>Sprachwissenschaft und Fremdsprachenunterricht:
    Spracherwerb und Sprachkompetenzen im Fokus</i>. Baltmannsweiler: Schneider, 2014.'
  mla: 'Bürgel, Christoph, and Dirk Siepmann, editors. <i>Sprachwissenschaft und Fremdsprachenunterricht:
    Spracherwerb und Sprachkompetenzen im Fokus</i>. Schneider, 2014.'
  short: 'C. Bürgel, D. Siepmann, eds., Sprachwissenschaft und Fremdsprachenunterricht:
    Spracherwerb und Sprachkompetenzen im Fokus, Schneider, Baltmannsweiler, 2014.'
date_created: 2024-11-18T01:36:49Z
date_updated: 2024-11-18T11:31:07Z
department:
- _id: '491'
editor:
- first_name: Christoph
  full_name: Bürgel, Christoph
  id: '58448'
  last_name: Bürgel
- first_name: 'Dirk '
  full_name: 'Siepmann, Dirk '
  last_name: Siepmann
language:
- iso: ger
place: Baltmannsweiler
publication_status: published
publisher: Schneider
status: public
title: 'Sprachwissenschaft und Fremdsprachenunterricht: Spracherwerb und Sprachkompetenzen
  im Fokus'
type: book_editor
user_id: '71124'
year: '2014'
...
---
_id: '57153'
citation:
  ama: Bürgel C, Tinnefeld T, Kostrzewa F, Lüger H-H, Siepmann D, Langner M, eds.
    <i>Fremdsprachenunterricht im Spannungsfeld zwischen Sprachwissen und Sprachkönnen</i>.;
    2014.
  apa: Bürgel, C., Tinnefeld, T., Kostrzewa, F., Lüger, H.-H., Siepmann, D., &#38;
    Langner, M. (Eds.). (2014). <i>Fremdsprachenunterricht im Spannungsfeld zwischen
    Sprachwissen und Sprachkönnen</i>.
  bibtex: '@book{Bürgel_Tinnefeld_Kostrzewa_Lüger_Siepmann_Langner_2014, title={Fremdsprachenunterricht
    im Spannungsfeld zwischen Sprachwissen und Sprachkönnen}, year={2014} }'
  chicago: Bürgel, Christoph, Thomas  Tinnefeld, Frank  Kostrzewa, Heinz-Helmut Lüger,
    Dirk  Siepmann, and Michael Langner, eds. <i>Fremdsprachenunterricht im Spannungsfeld
    zwischen Sprachwissen und Sprachkönnen</i>, 2014.
  ieee: C. Bürgel, T. Tinnefeld, F. Kostrzewa, H.-H. Lüger, D. Siepmann, and M. Langner,
    Eds., <i>Fremdsprachenunterricht im Spannungsfeld zwischen Sprachwissen und Sprachkönnen</i>.
    2014.
  mla: Bürgel, Christoph, et al., editors. <i>Fremdsprachenunterricht im Spannungsfeld
    zwischen Sprachwissen und Sprachkönnen</i>. 2014.
  short: C. Bürgel, T. Tinnefeld, F. Kostrzewa, H.-H. Lüger, D. Siepmann, M. Langner,
    eds., Fremdsprachenunterricht im Spannungsfeld zwischen Sprachwissen und Sprachkönnen,
    2014.
date_created: 2024-11-18T01:45:13Z
date_updated: 2024-11-18T11:24:36Z
department:
- _id: '491'
editor:
- first_name: Christoph
  full_name: Bürgel, Christoph
  id: '58448'
  last_name: Bürgel
- first_name: 'Thomas '
  full_name: 'Tinnefeld, Thomas '
  last_name: Tinnefeld
- first_name: 'Frank '
  full_name: 'Kostrzewa, Frank '
  last_name: Kostrzewa
- first_name: Heinz-Helmut
  full_name: Lüger, Heinz-Helmut
  last_name: Lüger
- first_name: 'Dirk '
  full_name: 'Siepmann, Dirk '
  last_name: Siepmann
- first_name: Michael
  full_name: Langner, Michael
  last_name: Langner
language:
- iso: ger
publication_status: published
status: public
title: Fremdsprachenunterricht im Spannungsfeld zwischen Sprachwissen und Sprachkönnen
type: book_editor
user_id: '71124'
year: '2014'
...
---
_id: '57284'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Timo
  full_name: Leuders, Timo
  last_name: Leuders
citation:
  ama: Biehler R, Leuders T. Kompetenzmodellierungen für den Mathematikunterricht
    – Eine Zwischenbilanz aus Sicht der Mathematikdidaktik. <i>Journal für Mathematik-Didaktik</i>.
    2014;35(1):1-5. doi:<a href="https://doi.org/10.1007/s13138-014-0062-9">10.1007/s13138-014-0062-9</a>
  apa: Biehler, R., &#38; Leuders, T. (2014). Kompetenzmodellierungen für den Mathematikunterricht
    – Eine Zwischenbilanz aus Sicht der Mathematikdidaktik. <i>Journal für Mathematik-Didaktik</i>,
    <i>35</i>(1), 1–5. <a href="https://doi.org/10.1007/s13138-014-0062-9">https://doi.org/10.1007/s13138-014-0062-9</a>
  bibtex: '@article{Biehler_Leuders_2014, title={Kompetenzmodellierungen für den Mathematikunterricht
    – Eine Zwischenbilanz aus Sicht der Mathematikdidaktik}, volume={35}, DOI={<a
    href="https://doi.org/10.1007/s13138-014-0062-9">10.1007/s13138-014-0062-9</a>},
    number={1}, journal={Journal für Mathematik-Didaktik}, publisher={Springer Science
    and Business Media LLC}, author={Biehler, Rolf and Leuders, Timo}, year={2014},
    pages={1–5} }'
  chicago: 'Biehler, Rolf, and Timo Leuders. “Kompetenzmodellierungen für den Mathematikunterricht
    – Eine Zwischenbilanz aus Sicht der Mathematikdidaktik.” <i>Journal für Mathematik-Didaktik</i>
    35, no. 1 (2014): 1–5. <a href="https://doi.org/10.1007/s13138-014-0062-9">https://doi.org/10.1007/s13138-014-0062-9</a>.'
  ieee: 'R. Biehler and T. Leuders, “Kompetenzmodellierungen für den Mathematikunterricht
    – Eine Zwischenbilanz aus Sicht der Mathematikdidaktik,” <i>Journal für Mathematik-Didaktik</i>,
    vol. 35, no. 1, pp. 1–5, 2014, doi: <a href="https://doi.org/10.1007/s13138-014-0062-9">10.1007/s13138-014-0062-9</a>.'
  mla: Biehler, Rolf, and Timo Leuders. “Kompetenzmodellierungen für den Mathematikunterricht
    – Eine Zwischenbilanz aus Sicht der Mathematikdidaktik.” <i>Journal für Mathematik-Didaktik</i>,
    vol. 35, no. 1, Springer Science and Business Media LLC, 2014, pp. 1–5, doi:<a
    href="https://doi.org/10.1007/s13138-014-0062-9">10.1007/s13138-014-0062-9</a>.
  short: R. Biehler, T. Leuders, Journal für Mathematik-Didaktik 35 (2014) 1–5.
date_created: 2024-11-20T10:44:24Z
date_updated: 2024-11-20T10:44:52Z
department:
- _id: '363'
doi: 10.1007/s13138-014-0062-9
intvolume: '        35'
issue: '1'
language:
- iso: ger
main_file_link:
- url: https://link.springer.com/article/10.1007/s13138-014-0062-9
page: 1-5
publication: Journal für Mathematik-Didaktik
publication_identifier:
  issn:
  - 0173-5322
  - 1869-2699
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Kompetenzmodellierungen für den Mathematikunterricht – Eine Zwischenbilanz
  aus Sicht der Mathematikdidaktik
type: journal_article
user_id: '37888'
volume: 35
year: '2014'
...
---
_id: '57196'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Pascal R.
  full_name: Fischer, Pascal R.
  last_name: Fischer
- first_name: Reinhard
  full_name: Hochmuth, Reinhard
  last_name: Hochmuth
- first_name: Thomas
  full_name: Wassong, Thomas
  last_name: Wassong
citation:
  ama: 'Biehler R, Fischer PR, Hochmuth R, Wassong T. Eine Vergleichsstudie zum Einsatz
    von Math-Bridge und VEMINT an den Universitäten Kassel und Paderborn. In: Bausch
    I, Biehler R, Bruder R, et al., eds. <i>Mathematische Vor- und Brückenkurse: Konzepte,
    Probleme und Perspektiven</i>. Springer Fachmedien Wiesbaden; 2014. doi:<a href="https://doi.org/10.1007/978-3-658-03065-0_8">10.1007/978-3-658-03065-0_8</a>'
  apa: 'Biehler, R., Fischer, P. R., Hochmuth, R., &#38; Wassong, T. (2014). Eine
    Vergleichsstudie zum Einsatz von Math-Bridge und VEMINT an den Universitäten Kassel
    und Paderborn. In I. Bausch, R. Biehler, R. Bruder, P. Fischer, R. Hochmuth, W.
    Koepf, S. Schreiber, &#38; T. Wassong (Eds.), <i>Mathematische Vor- und Brückenkurse:
    Konzepte, Probleme und Perspektiven</i>. Springer Fachmedien Wiesbaden. <a href="https://doi.org/10.1007/978-3-658-03065-0_8">https://doi.org/10.1007/978-3-658-03065-0_8</a>'
  bibtex: '@inbook{Biehler_Fischer_Hochmuth_Wassong_2014, place={Wiesbaden}, title={Eine
    Vergleichsstudie zum Einsatz von Math-Bridge und VEMINT an den Universitäten Kassel
    und Paderborn}, DOI={<a href="https://doi.org/10.1007/978-3-658-03065-0_8">10.1007/978-3-658-03065-0_8</a>},
    booktitle={Mathematische Vor- und Brückenkurse: Konzepte, Probleme und Perspektiven},
    publisher={Springer Fachmedien Wiesbaden}, author={Biehler, Rolf and Fischer,
    Pascal R. and Hochmuth, Reinhard and Wassong, Thomas}, editor={Bausch, I. and
    Biehler, Rolf and Bruder, Regina and Fischer, Pascal and Hochmuth, Reinhard and
    Koepf, W. and Schreiber, S. and Wassong, T.}, year={2014} }'
  chicago: 'Biehler, Rolf, Pascal R. Fischer, Reinhard Hochmuth, and Thomas Wassong.
    “Eine Vergleichsstudie zum Einsatz von Math-Bridge und VEMINT an den Universitäten
    Kassel und Paderborn.” In <i>Mathematische Vor- und Brückenkurse: Konzepte, Probleme
    und Perspektiven</i>, edited by I. Bausch, Rolf Biehler, Regina Bruder, Pascal
    Fischer, Reinhard Hochmuth, W. Koepf, S. Schreiber, and T. Wassong. Wiesbaden:
    Springer Fachmedien Wiesbaden, 2014. <a href="https://doi.org/10.1007/978-3-658-03065-0_8">https://doi.org/10.1007/978-3-658-03065-0_8</a>.'
  ieee: 'R. Biehler, P. R. Fischer, R. Hochmuth, and T. Wassong, “Eine Vergleichsstudie
    zum Einsatz von Math-Bridge und VEMINT an den Universitäten Kassel und Paderborn,”
    in <i>Mathematische Vor- und Brückenkurse: Konzepte, Probleme und Perspektiven</i>,
    I. Bausch, R. Biehler, R. Bruder, P. Fischer, R. Hochmuth, W. Koepf, S. Schreiber,
    and T. Wassong, Eds. Wiesbaden: Springer Fachmedien Wiesbaden, 2014.'
  mla: 'Biehler, Rolf, et al. “Eine Vergleichsstudie zum Einsatz von Math-Bridge und
    VEMINT an den Universitäten Kassel und Paderborn.” <i>Mathematische Vor- und Brückenkurse:
    Konzepte, Probleme und Perspektiven</i>, edited by I. Bausch et al., Springer
    Fachmedien Wiesbaden, 2014, doi:<a href="https://doi.org/10.1007/978-3-658-03065-0_8">10.1007/978-3-658-03065-0_8</a>.'
  short: 'R. Biehler, P.R. Fischer, R. Hochmuth, T. Wassong, in: I. Bausch, R. Biehler,
    R. Bruder, P. Fischer, R. Hochmuth, W. Koepf, S. Schreiber, T. Wassong (Eds.),
    Mathematische Vor- und Brückenkurse: Konzepte, Probleme und Perspektiven, Springer
    Fachmedien Wiesbaden, Wiesbaden, 2014.'
date_created: 2024-11-18T11:04:35Z
date_updated: 2024-11-18T11:08:43Z
department:
- _id: '363'
doi: 10.1007/978-3-658-03065-0_8
editor:
- first_name: I.
  full_name: Bausch, I.
  last_name: Bausch
- first_name: Rolf
  full_name: Biehler, Rolf
  last_name: Biehler
- first_name: Regina
  full_name: Bruder, Regina
  last_name: Bruder
- first_name: Pascal
  full_name: Fischer, Pascal
  last_name: Fischer
- first_name: Reinhard
  full_name: Hochmuth, Reinhard
  last_name: Hochmuth
- first_name: W.
  full_name: Koepf, W.
  last_name: Koepf
- first_name: S.
  full_name: Schreiber, S.
  last_name: Schreiber
- first_name: T.
  full_name: Wassong, T.
  last_name: Wassong
language:
- iso: ger
place: Wiesbaden
publication: 'Mathematische Vor- und Brückenkurse: Konzepte, Probleme und Perspektiven'
publication_identifier:
  isbn:
  - '9783658030643'
  - '9783658030650'
  issn:
  - 2197-8751
  - 2197-876X
publication_status: published
publisher: Springer Fachmedien Wiesbaden
status: public
title: Eine Vergleichsstudie zum Einsatz von Math-Bridge und VEMINT an den Universitäten
  Kassel und Paderborn
type: book_chapter
user_id: '37888'
year: '2014'
...
---
_id: '57191'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
citation:
  ama: 'Biehler R. Leitidee Daten und Zufall–Fundamentale Ideen aus Sicht der Statistik.
    In: Linneweber-Lammerskitten H, ed. <i>Fachdidaktik Mathematik - Grundbildung
    Und Kompetenzaufbau Im Unterricht Der Sekundarstufe I Und II</i>. Klett Kallmeyer;
    2014:69–92.'
  apa: Biehler, R. (2014). Leitidee Daten und Zufall–Fundamentale Ideen aus Sicht
    der Statistik. In H. Linneweber-Lammerskitten (Ed.), <i>Fachdidaktik Mathematik
    - Grundbildung und Kompetenzaufbau im Unterricht der Sekundarstufe I und II</i>
    (pp. 69–92). Klett Kallmeyer.
  bibtex: '@inbook{Biehler_2014, place={Seelze}, title={Leitidee Daten und Zufall–Fundamentale
    Ideen aus Sicht der Statistik}, booktitle={Fachdidaktik Mathematik - Grundbildung
    und Kompetenzaufbau im Unterricht der Sekundarstufe I und II}, publisher={Klett
    Kallmeyer}, author={Biehler, Rolf}, editor={Linneweber-Lammerskitten, H.}, year={2014},
    pages={69–92} }'
  chicago: 'Biehler, Rolf. “Leitidee Daten Und Zufall–Fundamentale Ideen Aus Sicht
    Der Statistik.” In <i>Fachdidaktik Mathematik - Grundbildung Und Kompetenzaufbau
    Im Unterricht Der Sekundarstufe I Und II</i>, edited by H. Linneweber-Lammerskitten,
    69–92. Seelze: Klett Kallmeyer, 2014.'
  ieee: 'R. Biehler, “Leitidee Daten und Zufall–Fundamentale Ideen aus Sicht der Statistik,”
    in <i>Fachdidaktik Mathematik - Grundbildung und Kompetenzaufbau im Unterricht
    der Sekundarstufe I und II</i>, H. Linneweber-Lammerskitten, Ed. Seelze: Klett
    Kallmeyer, 2014, pp. 69–92.'
  mla: Biehler, Rolf. “Leitidee Daten Und Zufall–Fundamentale Ideen Aus Sicht Der
    Statistik.” <i>Fachdidaktik Mathematik - Grundbildung Und Kompetenzaufbau Im Unterricht
    Der Sekundarstufe I Und II</i>, edited by H. Linneweber-Lammerskitten, Klett Kallmeyer,
    2014, pp. 69–92.
  short: 'R. Biehler, in: H. Linneweber-Lammerskitten (Ed.), Fachdidaktik Mathematik
    - Grundbildung Und Kompetenzaufbau Im Unterricht Der Sekundarstufe I Und II, Klett
    Kallmeyer, Seelze, 2014, pp. 69–92.'
date_created: 2024-11-18T10:52:04Z
date_updated: 2024-11-18T10:56:55Z
department:
- _id: '363'
editor:
- first_name: H.
  full_name: Linneweber-Lammerskitten, H.
  last_name: Linneweber-Lammerskitten
language:
- iso: eng
page: 69–92
place: Seelze
publication: Fachdidaktik Mathematik - Grundbildung und Kompetenzaufbau im Unterricht
  der Sekundarstufe I und II
publisher: Klett Kallmeyer
status: public
title: Leitidee Daten und Zufall–Fundamentale Ideen aus Sicht der Statistik
type: book_chapter
user_id: '37888'
year: '2014'
...
