@article{4136,
  abstract     = {{Results of atomistic simulations aimed at understanding precipitation of the highly attractive wide band gap
semiconductor material silicon carbide in silicon are presented. The study involves a systematic investigation of
intrinsic and carbon-related defects as well as defect combinations and defect migration by both, quantummechanical
first-principles as well as empirical potential methods. Comparing formation and activation energies,
ground-state structures of defects and defect combinations as well as energetically favorable agglomeration of
defects are predicted. Moreover, accurate ab initio calculations unveil limitations of the analytical method based
on a Tersoff-like bond order potential. A work-around is proposed in order to subsequently apply the highly efficient technique on large structures not accessible by first-principles methods. The outcome of both types of simulation provides a basic microscopic understanding of defect formation and structural evolution particularly at non-equilibrium conditions strongly deviated from the ground state as commonly found in SiC growth processes. A possible precipitation mechanism, which conforms well to experimental findings and clarifies contradictory views present in the literature is outlined.}},
  author       = {{Zirkelbach, F. and Stritzker, B. and Nordlund, K. and Schmidt, Wolf Gero and Rauls, E. and Lindner, Jörg K. N.}},
  issn         = {{1862-6351}},
  journal      = {{physica status solidi (c)}},
  number       = {{10-11}},
  pages        = {{1968--1973}},
  publisher    = {{Wiley}},
  title        = {{{First-principles and empirical potential simulation study of intrinsic and carbon-related defects in silicon}}},
  doi          = {{10.1002/pssc.201200198}},
  volume       = {{9}},
  year         = {{2012}},
}

@article{3972,
  abstract     = {{Using a finite-difference time-domain method, we theoretically investigate the optical spectra of crossing perpendicular photonic crystal waveguides with quantum dots embedded in the central rod. The waveguides are designed so that the light mainly propagates along one direction and the cross talk is greatly reduced in the transverse direction. It is shown that when a quantum dot (QD) is resonant with the cavity, strong coupling can be observed via both the transmission and crosstalk spectrum. If the cavity is far off-resonant from the QD, both the cavity mode and the QD signal can be detected in the transverse direction since the laser field is greatly suppressed in this direction. This structure could have strong implications for resonant excitation and in-plane detection of QD optical spectroscopy.}},
  author       = {{Song, Xiaohong and Declair, Stefan and Meier, Torsten and Zrenner, Artur and Förstner, Jens}},
  issn         = {{1094-4087}},
  journal      = {{Optics Express}},
  keywords     = {{tet_topic_phc, tet_topic_qd}},
  number       = {{13}},
  pages        = {{14130--14136}},
  publisher    = {{The Optical Society}},
  title        = {{{Photonic crystal waveguides intersection for resonant quantum dot optical spectroscopy detection}}},
  doi          = {{10.1364/oe.20.014130}},
  volume       = {{20}},
  year         = {{2012}},
}

@inproceedings{3967,
  abstract     = {{We simulate the linear and nonlinear optical response from split-ring resonator (SRR) arrays to study collective effects between the constituent SRRs that determine spectral properties of the second harmonic generation (SHG). We apply the Discontinuous Galerkin Time Domain (DGTD) method and the hydrodynamic Maxwell-Vlasov model to calculate the SHG emission. Our model is able to qualitatively reproduce and explain the non-monotonic dependence of the spectral SHG transmission measured experimentally for SRR arrays with different lattice constants}},
  author       = {{Grynko, Yevgen and Meier, Torsten and Linden, Stefan and Niesler, Fabian B. P. and Wegener, Martin and Förstner, Jens}},
  keywords     = {{tet_topic_meta, tet_topic_shg}},
  location     = {{Bad Honnef}},
  number       = {{1}},
  pages        = {{128--130}},
  publisher    = {{AIP Conference Proceedings}},
  title        = {{{Near-field coupling and second-harmonic generation in split-ring resonator arrays}}},
  doi          = {{10.1063/1.4750118}},
  volume       = {{1475}},
  year         = {{2012}},
}

@article{3970,
  abstract     = {{Optical experiments on second-harmonic generation from split-ring-resonator square arrays show a nonmonotonic dependence of the conversion efficiency on the lattice constant. This finding is interpreted in terms of a competition between dilution effects and linewidth or near-field changes due to interactions among the individual elements in the array.}},
  author       = {{Linden, S. and Niesler, F. B. P. and Förstner, Jens and Grynko, Yevgen and Meier, Torsten and Wegener, M.}},
  issn         = {{0031-9007}},
  journal      = {{Physical Review Letters}},
  keywords     = {{tet_topic_shg, tet_topic_meta}},
  number       = {{1}},
  publisher    = {{American Physical Society (APS)}},
  title        = {{{Collective Effects in Second-Harmonic Generation from Split-Ring-Resonator Arrays}}},
  doi          = {{10.1103/physrevlett.109.015502}},
  volume       = {{109}},
  year         = {{2012}},
}

@article{43200,
  abstract     = {{A novel adaptive approach to compute the eigenenergies and eigenfunctions of the two-particle (electron-hole) Schrödinger equation including Coulomb attraction is presented. As an example, we analyze the energetically lowest exciton state of a thin one-dimensional semiconductor quantum wire in the presence of disorder which arises from the non-smooth interface between the wire and surrounding material. The eigenvalues of the corresponding Schrödinger equation, i.e., the one-dimensional exciton Wannier equation with disorder, correspond to the energies of excitons in the quantum wire. The wavefunctions, in turn, provide information on the optical properties of the wire.

We reformulate the problem of two interacting particles that both can move in one dimension as a stationary eigenvalue problem with two spacial dimensions in an appropriate weak form whose bilinear form is arranged to be symmetric, continuous, and coercive. The disorder of the wire is modelled by adding a potential in the Hamiltonian which is generated by normally distributed random numbers. The numerical solution of this problem is based on adaptive wavelets. Our scheme allows for a convergence proof of the resulting scheme together with complexity estimates. Numerical examples demonstrate the behavior of the smallest eigenvalue, the ground state energies of the exciton, together with the eigenstates depending on the strength and spatial correlation of disorder.}},
  author       = {{Meier, Torsten and Mollet, Christian and Kunoth, Angela}},
  journal      = {{Communications in Computational Physics}},
  number       = {{1}},
  pages        = {{21--47}},
  publisher    = {{Cambridge University Press}},
  title        = {{{Excitonic Eigenstates of Disordered Semiconductor Quantum Wires: Adaptive Wavelet Computation of Eigenvalues for the Electron-Hole Schrödinger Equation}}},
  doi          = {{10.4208/cicp.081011.260712a}},
  volume       = {{14}},
  year         = {{2012}},
}

@inbook{12742,
  author       = {{Hagengruber, Ruth Edith}},
  booktitle    = {{Emilie Du Châtelet between Leibniz and Newton}},
  editor       = {{Hagengruber, Ruth}},
  isbn         = {{9789400720749}},
  pages        = {{1--59}},
  publisher    = {{Springer VS}},
  title        = {{{Emilie Du Châtelet and the Transformation of Metaphysics}}},
  year         = {{2012}},
}

@misc{57353,
  author       = {{Bürgel, Christoph and Sommerfeldt, Kathrin and Steveker, Wolfgang and Vences, Ursula  and Wlasak-Feik, Christine}},
  booktitle    = {{Zeitschrift für Romanische Sprachen und ihre Didaktik }},
  number       = {{2}},
  pages        = {{190--194}},
  title        = {{{Fachmethodik: Spanisch-Methodik: Handbuch für die Sekundarstufe I und II}}},
  volume       = {{6}},
  year         = {{2012}},
}

@inbook{57436,
  author       = {{Biehler, Rolf and Ben-Zvi, Dani and Bakker, Arthur and Makar, Katie}},
  booktitle    = {{Third International Handbook of Mathematics Education}},
  editor       = {{Clements, M. A. and Bishop, A. J. and Keitel, C. and Kilpatrick, J. and Leung, F. K. S.}},
  isbn         = {{9781461446835}},
  pages        = {{643--689}},
  publisher    = {{Springer New York}},
  title        = {{{Technology for Enhancing Statistical Reasoning at the School Level}}},
  doi          = {{10.1007/978-1-4614-4684-2_21}},
  year         = {{2012}},
}

@article{57438,
  author       = {{Biehler, Rolf and Pratt, Dave}},
  journal      = {{ZDM}},
  number       = {{7}},
  pages        = {{819–823}},
  publisher    = {{Springer}},
  title        = {{{Research on the reasoning, teaching and learning of probability and uncertainty}}},
  volume       = {{44}},
  year         = {{2012}},
}

@article{57440,
  author       = {{Hofmann, T. and Biehler, Rolf}},
  journal      = {{Stochastik in der Schule}},
  number       = {{3}},
  pages        = {{14--19}},
  title        = {{{eFathom – eine Multimediale Einführung in die Werkzeugsoftware Fathom}}},
  volume       = {{32}},
  year         = {{2012}},
}

@article{57437,
  author       = {{Biehler, Rolf}},
  journal      = {{Stochastik in der Schule}},
  number       = {{3}},
  pages        = {{30--31}},
  title        = {{{Stochastik in der Schule bedankt sich bei Heinz Althoff und Gerhard König}}},
  volume       = {{32}},
  year         = {{2012}},
}

@book{57439,
  editor       = {{Biehler, Rolf and Pratt, D.}},
  title        = {{{Probability in Reasoning About Data and Risk. ZDM The International Journal on Mathematics Edu-cation, 44(7) }}},
  year         = {{2012}},
}

@inbook{56042,
  author       = {{Priesching, Nicole and Klueting, Edeltraud}},
  booktitle    = {{Monasticon Carmelitanum. Die Klöster des Karmeliterordens (O.Carm.) in Deutschland von den Anfängen bis zur Gegenwart}},
  editor       = {{Klueting, Edeltraud and Panzer, Stephan and Schloten, Andreas H.}},
  pages        = {{746–756}},
  publisher    = {{Aschendorff}},
  title        = {{{Weinheim}}},
  volume       = {{2}},
  year         = {{2012}},
}

@inbook{56049,
  author       = {{Priesching, Nicole}},
  booktitle    = {{Zwischen Himmel und Erde. Körperliche Zeichen der Heiligkeit}},
  editor       = {{Putz, Waltraud}},
  pages        = {{79–97}},
  title        = {{{Mystikerinnen des 19. Jahrhunderts – ein neuer Typus?}}},
  volume       = {{11}},
  year         = {{2012}},
}

@inbook{56050,
  author       = {{Priesching, Nicole}},
  booktitle    = {{Regionale Zivilgesellschaft in Bewegung / Cittadini innanzi tutto. Festschrift für Hans Heiss}},
  editor       = {{Obermair, Hannes and Risse, Stephanie and Romeo, Carlo}},
  pages        = {{588–601}},
  title        = {{{Als Kaiser Franz I. am 27. Oktober 1815 durch Bozen reiste}}},
  year         = {{2012}},
}

@inbook{57567,
  abstract     = {{<jats:p>For providing an overview of our whole bridging-course programme, at first we will discuss our material concerning content-related, didactical, and authoring aspects. Then we will discuss our course scenarios with regard to pedagogical and organisational aspects. Focusing on selected results of an accompanying evaluation study we will finally discuss the acceptance and success of our courses and highlight some interesting findings concerning our learners.</jats:p>}},
  author       = {{Biehler, Rolf and Fischer, P. R. and Hochmuth, R. and Wassong, Th.}},
  booktitle    = {{Teaching Mathematics Online: Emergent Technologies and Methodologies}},
  editor       = {{Juan, A. A. and Huertas, M. A. and Trenholm, S. and Steegman, C.}},
  isbn         = {{9781609608750}},
  publisher    = {{IGI Global}},
  title        = {{{Self-Regulated Learning and Self Assessment in Online Mathematics Bridging Courses}}},
  doi          = {{10.4018/978-1-60960-875-0.ch011}},
  year         = {{2012}},
}

@inbook{57563,
  author       = {{Biehler, Rolf and Hochmuth, Reinhard and Klemm, Juliane and Schreiber, Stephan and Hänze, Martin}},
  booktitle    = {{Mathematik lehren in der Hochschule - Didaktische Innovationen für Vorkurse, Übungen und Vorlesungen}},
  editor       = {{Zimmermann, M. and Bescherer, C. and Spannagel, C.}},
  pages        = {{33–44}},
  publisher    = {{Franzbecker}},
  title        = {{{Tutorenschulung als Teil der Lehrinnovation in der Studieneingangsphase „Mathematik im Lehramtsstudium “(LIMA-Projekt)}}},
  year         = {{2012}},
}

@inbook{57565,
  author       = {{Biehler, Rolf and Hochmuth, Reinhard and Klemm, Juliane and Schreiber, Stephan and Hänze, Martin}},
  booktitle    = {{Mathematik lehren in der Hochschule–Didaktische Innovationen für Vorkurse, Übungen und Vorlesungen}},
  editor       = {{Zimmermann, M. and Bescherer, C. and Spannagel, C.}},
  pages        = {{21--33}},
  publisher    = {{Franzbecker}},
  title        = {{{Fachbezogene Qualifizierung von MathematiktutorInnen–Konzeption und erste Erfahrungen im LIMA-Projekt}}},
  year         = {{2012}},
}

@inbook{57561,
  author       = {{Biehler, Rolf and Fischer, Pascal R and Hochmuth, Reinhard and Wassong, Thomas}},
  booktitle    = {{Mathematik lehren in der Hochschule. Didaktische Innovationen für Vorkurse, Übungen und Vorlesungen}},
  editor       = {{Zimmermann, M. and Bescherer, C. and Spannagel, C.}},
  pages        = {{21–32}},
  publisher    = {{Franzbecker}},
  title        = {{{Mathematische Vorkurse neu gedacht: Das Projekt VEMA}}},
  year         = {{2012}},
}

@inbook{57570,
  author       = {{Biehler, Rolf and Hoppenbrock, Axel and Klemm, Juliane and Liebendörfer, Michael and Wassong, Thomas}},
  booktitle    = {{CETL-MSOR Conference Proceedings 2011}},
  editor       = {{Waller, D.}},
  pages        = {{21--27}},
  publisher    = {{The Maths, Stats & OR Network}},
  title        = {{{Training of student teaching assistants and e-learning via math-bridge–Two projects at the German Centre for Higher Mathematics Education}}},
  year         = {{2012}},
}