---
_id: '38037'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Michael
  full_name: Voit, Michael
  last_name: Voit
citation:
  ama: 'Rösler M, Voit M. A Central Limit Theorem for Random Walks on the Dual of
    a Compact Grassmannian. <i>Symmetry, Integrability and Geometry: Methods and Applications</i>.
    2015;11(013):18pp. doi:<a href="https://doi.org/10.3842/sigma.2015.013">10.3842/sigma.2015.013</a>'
  apa: 'Rösler, M., &#38; Voit, M. (2015). A Central Limit Theorem for Random Walks
    on the Dual of a Compact Grassmannian. <i>Symmetry, Integrability and Geometry:
    Methods and Applications</i>, <i>11</i>(013), 18pp. <a href="https://doi.org/10.3842/sigma.2015.013">https://doi.org/10.3842/sigma.2015.013</a>'
  bibtex: '@article{Rösler_Voit_2015, title={A Central Limit Theorem for Random Walks
    on the Dual of a Compact Grassmannian}, volume={11}, DOI={<a href="https://doi.org/10.3842/sigma.2015.013">10.3842/sigma.2015.013</a>},
    number={013}, journal={Symmetry, Integrability and Geometry: Methods and Applications},
    publisher={SIGMA (Symmetry, Integrability and Geometry: Methods and Application)},
    author={Rösler, Margit and Voit, Michael}, year={2015}, pages={18pp} }'
  chicago: 'Rösler, Margit, and Michael Voit. “A Central Limit Theorem for Random
    Walks on the Dual of a Compact Grassmannian.” <i>Symmetry, Integrability and Geometry:
    Methods and Applications</i> 11, no. 013 (2015): 18pp. <a href="https://doi.org/10.3842/sigma.2015.013">https://doi.org/10.3842/sigma.2015.013</a>.'
  ieee: 'M. Rösler and M. Voit, “A Central Limit Theorem for Random Walks on the Dual
    of a Compact Grassmannian,” <i>Symmetry, Integrability and Geometry: Methods and
    Applications</i>, vol. 11, no. 013, p. 18pp, 2015, doi: <a href="https://doi.org/10.3842/sigma.2015.013">10.3842/sigma.2015.013</a>.'
  mla: 'Rösler, Margit, and Michael Voit. “A Central Limit Theorem for Random Walks
    on the Dual of a Compact Grassmannian.” <i>Symmetry, Integrability and Geometry:
    Methods and Applications</i>, vol. 11, no. 013, SIGMA (Symmetry, Integrability
    and Geometry: Methods and Application), 2015, p. 18pp, doi:<a href="https://doi.org/10.3842/sigma.2015.013">10.3842/sigma.2015.013</a>.'
  short: 'M. Rösler, M. Voit, Symmetry, Integrability and Geometry: Methods and Applications
    11 (2015) 18pp.'
date_created: 2023-01-23T08:18:48Z
date_updated: 2023-01-24T22:15:37Z
department:
- _id: '555'
doi: 10.3842/sigma.2015.013
intvolume: '        11'
issue: '013'
keyword:
- Geometry and Topology
- Mathematical Physics
- Analysis
language:
- iso: eng
page: 18pp
publication: 'Symmetry, Integrability and Geometry: Methods and Applications'
publication_identifier:
  issn:
  - 1815-0659
publication_status: published
publisher: 'SIGMA (Symmetry, Integrability and Geometry: Methods and Application)'
status: public
title: A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian
type: journal_article
user_id: '93826'
volume: 11
year: '2015'
...
---
_id: '31294'
article_number: '101501'
author:
- first_name: Tobias
  full_name: Weich, Tobias
  id: '49178'
  last_name: Weich
  orcid: 0000-0002-9648-6919
citation:
  ama: Weich T. Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators.
    <i>Journal of Mathematical Physics</i>. 2014;55(10). doi:<a href="https://doi.org/10.1063/1.4896698">10.1063/1.4896698</a>
  apa: Weich, T. (2014). Equivariant spectral asymptotics for<i>h</i>-pseudodifferential
    operators. <i>Journal of Mathematical Physics</i>, <i>55</i>(10), Article 101501.
    <a href="https://doi.org/10.1063/1.4896698">https://doi.org/10.1063/1.4896698</a>
  bibtex: '@article{Weich_2014, title={Equivariant spectral asymptotics for<i>h</i>-pseudodifferential
    operators}, volume={55}, DOI={<a href="https://doi.org/10.1063/1.4896698">10.1063/1.4896698</a>},
    number={10101501}, journal={Journal of Mathematical Physics}, publisher={AIP Publishing},
    author={Weich, Tobias}, year={2014} }'
  chicago: Weich, Tobias. “Equivariant Spectral Asymptotics for<i>h</i>-Pseudodifferential
    Operators.” <i>Journal of Mathematical Physics</i> 55, no. 10 (2014). <a href="https://doi.org/10.1063/1.4896698">https://doi.org/10.1063/1.4896698</a>.
  ieee: 'T. Weich, “Equivariant spectral asymptotics for<i>h</i>-pseudodifferential
    operators,” <i>Journal of Mathematical Physics</i>, vol. 55, no. 10, Art. no.
    101501, 2014, doi: <a href="https://doi.org/10.1063/1.4896698">10.1063/1.4896698</a>.'
  mla: Weich, Tobias. “Equivariant Spectral Asymptotics for<i>h</i>-Pseudodifferential
    Operators.” <i>Journal of Mathematical Physics</i>, vol. 55, no. 10, 101501, AIP
    Publishing, 2014, doi:<a href="https://doi.org/10.1063/1.4896698">10.1063/1.4896698</a>.
  short: T. Weich, Journal of Mathematical Physics 55 (2014).
date_created: 2022-05-17T12:57:00Z
date_updated: 2022-05-19T10:16:38Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
doi: 10.1063/1.4896698
external_id:
  arxiv:
  - '1311.2436 '
intvolume: '        55'
issue: '10'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
publication: Journal of Mathematical Physics
publication_identifier:
  issn:
  - 0022-2488
  - 1089-7658
publication_status: published
publisher: AIP Publishing
status: public
title: Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators
type: journal_article
user_id: '49178'
volume: 55
year: '2014'
...
---
_id: '31296'
author:
- first_name: Sonja
  full_name: Barkhofen, Sonja
  id: '48188'
  last_name: Barkhofen
- first_name: F
  full_name: Faure, F
  last_name: Faure
- first_name: Tobias
  full_name: Weich, Tobias
  id: '49178'
  last_name: Weich
  orcid: 0000-0002-9648-6919
citation:
  ama: Barkhofen S, Faure F, Weich T. Resonance chains in open systems, generalized
    zeta functions and clustering of the length spectrum. <i>Nonlinearity</i>. 2014;27(8):1829-1858.
    doi:<a href="https://doi.org/10.1088/0951-7715/27/8/1829">10.1088/0951-7715/27/8/1829</a>
  apa: Barkhofen, S., Faure, F., &#38; Weich, T. (2014). Resonance chains in open
    systems, generalized zeta functions and clustering of the length spectrum. <i>Nonlinearity</i>,
    <i>27</i>(8), 1829–1858. <a href="https://doi.org/10.1088/0951-7715/27/8/1829">https://doi.org/10.1088/0951-7715/27/8/1829</a>
  bibtex: '@article{Barkhofen_Faure_Weich_2014, title={Resonance chains in open systems,
    generalized zeta functions and clustering of the length spectrum}, volume={27},
    DOI={<a href="https://doi.org/10.1088/0951-7715/27/8/1829">10.1088/0951-7715/27/8/1829</a>},
    number={8}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Barkhofen,
    Sonja and Faure, F and Weich, Tobias}, year={2014}, pages={1829–1858} }'
  chicago: 'Barkhofen, Sonja, F Faure, and Tobias Weich. “Resonance Chains in Open
    Systems, Generalized Zeta Functions and Clustering of the Length Spectrum.” <i>Nonlinearity</i>
    27, no. 8 (2014): 1829–58. <a href="https://doi.org/10.1088/0951-7715/27/8/1829">https://doi.org/10.1088/0951-7715/27/8/1829</a>.'
  ieee: 'S. Barkhofen, F. Faure, and T. Weich, “Resonance chains in open systems,
    generalized zeta functions and clustering of the length spectrum,” <i>Nonlinearity</i>,
    vol. 27, no. 8, pp. 1829–1858, 2014, doi: <a href="https://doi.org/10.1088/0951-7715/27/8/1829">10.1088/0951-7715/27/8/1829</a>.'
  mla: Barkhofen, Sonja, et al. “Resonance Chains in Open Systems, Generalized Zeta
    Functions and Clustering of the Length Spectrum.” <i>Nonlinearity</i>, vol. 27,
    no. 8, IOP Publishing, 2014, pp. 1829–58, doi:<a href="https://doi.org/10.1088/0951-7715/27/8/1829">10.1088/0951-7715/27/8/1829</a>.
  short: S. Barkhofen, F. Faure, T. Weich, Nonlinearity 27 (2014) 1829–1858.
date_created: 2022-05-17T12:58:25Z
date_updated: 2023-01-19T08:56:12Z
department:
- _id: '10'
- _id: '548'
- _id: '288'
doi: 10.1088/0951-7715/27/8/1829
external_id:
  arxiv:
  - '1403.7771 '
intvolume: '        27'
issue: '8'
keyword:
- Applied Mathematics
- General Physics and Astronomy
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 1829-1858
publication: Nonlinearity
publication_identifier:
  issn:
  - 0951-7715
  - 1361-6544
publication_status: published
publisher: IOP Publishing
status: public
title: Resonance chains in open systems, generalized zeta functions and clustering
  of the length spectrum
type: journal_article
user_id: '48188'
volume: 27
year: '2014'
...
---
_id: '35349'
abstract:
- lang: eng
  text: <jats:p>The effect of Berry’s phase on the nuclear quadrupole resonance (NQR)
    spectra of rotating powder samples is studied experimentally, and its application
    for the determination of the electric field gradient asymmetry η is demonstrated.
    The NQR frequency splittings, which are observed for the spin 3/2 nucleus of <jats:sup>35</jats:sup>Cl
    in powder samples of p-dichlorobenzene (C<jats:sub>6</jats:sub>H<jats:sub>4</jats:sub>Cl<jats:sub>2</jats:sub>)
    and cyanuric chloride (C<jats:sub>3</jats:sub>N<jats:sub>3</jats:sub>Cl<jats:sub>3</jats:sub>),
    are interpreted as a manifestation of Berry’s phase, associated with the adiabatically
    changing Hamiltonian due to sample rotation. The accumulation of Berry’s phase
    during the rotation process is responsible for the observed dependence of the
    NQR line shape on the rotation frequency and the asymmetry parameter. The proposed
    method for the determination of η involves the analysis of the NQR powder patterns
    of the rotating samples.</jats:p>
article_type: original
author:
- first_name: Nikolay
  full_name: Sinyavsky, Nikolay
  last_name: Sinyavsky
- first_name: Mariusz
  full_name: Maćkowiak, Mariusz
  last_name: Maćkowiak
- first_name: Claudia
  full_name: Schmidt, Claudia
  id: '466'
  last_name: Schmidt
  orcid: 0000-0003-3179-9997
citation:
  ama: Sinyavsky N, Maćkowiak M, Schmidt C. Manifestation of Berry’s Phase in Nuclear
    Quadrupole Resonance Spectra of Rotating Powder Samples. <i>Zeitschrift für Naturforschung
    A</i>. 2008;63(1-2):81-87. doi:<a href="https://doi.org/10.1515/zna-2008-1-214">10.1515/zna-2008-1-214</a>
  apa: Sinyavsky, N., Maćkowiak, M., &#38; Schmidt, C. (2008). Manifestation of Berry’s
    Phase in Nuclear Quadrupole Resonance Spectra of Rotating Powder Samples. <i>Zeitschrift
    Für Naturforschung A</i>, <i>63</i>(1–2), 81–87. <a href="https://doi.org/10.1515/zna-2008-1-214">https://doi.org/10.1515/zna-2008-1-214</a>
  bibtex: '@article{Sinyavsky_Maćkowiak_Schmidt_2008, title={Manifestation of Berry’s
    Phase in Nuclear Quadrupole Resonance Spectra of Rotating Powder Samples}, volume={63},
    DOI={<a href="https://doi.org/10.1515/zna-2008-1-214">10.1515/zna-2008-1-214</a>},
    number={1–2}, journal={Zeitschrift für Naturforschung A}, publisher={Walter de
    Gruyter GmbH}, author={Sinyavsky, Nikolay and Maćkowiak, Mariusz and Schmidt,
    Claudia}, year={2008}, pages={81–87} }'
  chicago: 'Sinyavsky, Nikolay, Mariusz Maćkowiak, and Claudia Schmidt. “Manifestation
    of Berry’s Phase in Nuclear Quadrupole Resonance Spectra of Rotating Powder Samples.”
    <i>Zeitschrift Für Naturforschung A</i> 63, no. 1–2 (2008): 81–87. <a href="https://doi.org/10.1515/zna-2008-1-214">https://doi.org/10.1515/zna-2008-1-214</a>.'
  ieee: 'N. Sinyavsky, M. Maćkowiak, and C. Schmidt, “Manifestation of Berry’s Phase
    in Nuclear Quadrupole Resonance Spectra of Rotating Powder Samples,” <i>Zeitschrift
    für Naturforschung A</i>, vol. 63, no. 1–2, pp. 81–87, 2008, doi: <a href="https://doi.org/10.1515/zna-2008-1-214">10.1515/zna-2008-1-214</a>.'
  mla: Sinyavsky, Nikolay, et al. “Manifestation of Berry’s Phase in Nuclear Quadrupole
    Resonance Spectra of Rotating Powder Samples.” <i>Zeitschrift Für Naturforschung
    A</i>, vol. 63, no. 1–2, Walter de Gruyter GmbH, 2008, pp. 81–87, doi:<a href="https://doi.org/10.1515/zna-2008-1-214">10.1515/zna-2008-1-214</a>.
  short: N. Sinyavsky, M. Maćkowiak, C. Schmidt, Zeitschrift Für Naturforschung A
    63 (2008) 81–87.
date_created: 2023-01-06T13:11:39Z
date_updated: 2023-01-07T11:28:10Z
department:
- _id: '2'
- _id: '315'
doi: 10.1515/zna-2008-1-214
intvolume: '        63'
issue: 1-2
keyword:
- Physical and Theoretical Chemistry
- General Physics and Astronomy
- Mathematical Physics
language:
- iso: eng
page: 81-87
publication: Zeitschrift für Naturforschung A
publication_identifier:
  issn:
  - 1865-7109
  - 0932-0784
publication_status: published
publisher: Walter de Gruyter GmbH
quality_controlled: '1'
status: public
title: Manifestation of Berry’s Phase in Nuclear Quadrupole Resonance Spectra of Rotating
  Powder Samples
type: journal_article
user_id: '466'
volume: 63
year: '2008'
...
---
_id: '39941'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Michael
  full_name: Voit, Michael
  last_name: Voit
citation:
  ama: 'Rösler M, Voit M. A Limit Relation for Dunkl-Bessel Functions of Type A and
    B. <i>Symmetry, Integrability and Geometry: Methods and Applications</i>. 2008;4(083):9pp.
    doi:<a href="https://doi.org/10.3842/sigma.2008.083">10.3842/sigma.2008.083</a>'
  apa: 'Rösler, M., &#38; Voit, M. (2008). A Limit Relation for Dunkl-Bessel Functions
    of Type A and B. <i>Symmetry, Integrability and Geometry: Methods and Applications</i>,
    <i>4</i>(083), 9pp. <a href="https://doi.org/10.3842/sigma.2008.083">https://doi.org/10.3842/sigma.2008.083</a>'
  bibtex: '@article{Rösler_Voit_2008, title={A Limit Relation for Dunkl-Bessel Functions
    of Type A and B}, volume={4}, DOI={<a href="https://doi.org/10.3842/sigma.2008.083">10.3842/sigma.2008.083</a>},
    number={083}, journal={Symmetry, Integrability and Geometry: Methods and Applications},
    publisher={SIGMA (Symmetry, Integrability and Geometry: Methods and Application)},
    author={Rösler, Margit and Voit, Michael}, year={2008}, pages={9pp} }'
  chicago: 'Rösler, Margit, and Michael Voit. “A Limit Relation for Dunkl-Bessel Functions
    of Type A and B.” <i>Symmetry, Integrability and Geometry: Methods and Applications</i>
    4, no. 083 (2008): 9pp. <a href="https://doi.org/10.3842/sigma.2008.083">https://doi.org/10.3842/sigma.2008.083</a>.'
  ieee: 'M. Rösler and M. Voit, “A Limit Relation for Dunkl-Bessel Functions of Type
    A and B,” <i>Symmetry, Integrability and Geometry: Methods and Applications</i>,
    vol. 4, no. 083, p. 9pp, 2008, doi: <a href="https://doi.org/10.3842/sigma.2008.083">10.3842/sigma.2008.083</a>.'
  mla: 'Rösler, Margit, and Michael Voit. “A Limit Relation for Dunkl-Bessel Functions
    of Type A and B.” <i>Symmetry, Integrability and Geometry: Methods and Applications</i>,
    vol. 4, no. 083, SIGMA (Symmetry, Integrability and Geometry: Methods and Application),
    2008, p. 9pp, doi:<a href="https://doi.org/10.3842/sigma.2008.083">10.3842/sigma.2008.083</a>.'
  short: 'M. Rösler, M. Voit, Symmetry, Integrability and Geometry: Methods and Applications
    4 (2008) 9pp.'
date_created: 2023-01-25T09:50:01Z
date_updated: 2023-01-26T17:47:57Z
department:
- _id: '555'
doi: 10.3842/sigma.2008.083
extern: '1'
intvolume: '         4'
issue: '083'
keyword:
- Geometry and Topology
- Mathematical Physics
- Analysis
language:
- iso: eng
page: 9pp
publication: 'Symmetry, Integrability and Geometry: Methods and Applications'
publication_identifier:
  issn:
  - 1815-0659
publication_status: published
publisher: 'SIGMA (Symmetry, Integrability and Geometry: Methods and Application)'
status: public
title: A Limit Relation for Dunkl-Bessel Functions of Type A and B
type: journal_article
user_id: '93826'
volume: 4
year: '2008'
...