Research output per year
Research output per year
- 23 results
Search results
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2022
Dirac operator spectrum in tubes and layers with a zigzag type boundary
Exner, P. & Holzmann, M., Oct 2022, In: Letters in Mathematical Physics. 112, 5, 23 p., 102.Research output: Contribution to journal › Article › peer-review
Open Access -
Lineare Algebra (für Physiker)
Behrndt, J., Holzmann, M. & Schlosser, P., 2022Research output: Other contribution › Lecture notes
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Spectral Transition for Dirac Operators with Electrostatic δ -Shell Potentials Supported on the Straight Line
Behrndt, J., Holzmann, M. & Tusek, M., Sep 2022, In: Integral Equations and Operator Theory . 94, 3, 33.Research output: Contribution to journal › Article › peer-review
Open Access -
Vektoranalysis und Funktionentheorie (für Physiker)
Behrndt, J., Holzmann, M. & Schlosser, P., 2022Research output: Other contribution › Lecture notes
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2021
A class of singular perturbations of the Dirac operator: boundary triplets and Weyl functions
Behrndt, J., Holzmann, M., Stelzer, C. & Stenzel, G., 2021, Contributions to Mathematics and Statistics: Essays in honour of Seppo Hassi. de Snoo, H. S. V. & Wietsma, H. L. (eds.). University of Vaasa, p. 15-36 (Acta Wasaensia; vol. 462).Research output: Chapter in Book/Report/Conference proceeding › Chapter
Open Access -
A note on the three dimensional Dirac operator with zigzag type boundary conditions
Holzmann, M., Apr 2021, In: Complex Analysis and Operator Theory. 15, 3, 47.Research output: Contribution to journal › Article › peer-review
Open Access -
Differenzial- und Integralrechnung (für Physiker)
Behrndt, J., Holzmann, M. & Schlosser, P., 2021Research output: Other contribution › Lecture notes
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Gewöhnliche Differenzialgleichungen (für Physiker)
Holzmann, M., Behrndt, J. & Schlosser, P., 2021Research output: Other contribution › Lecture notes
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2020
Boundary integral formulations of eigenvalue problems for elliptic differential operators with singular interactions and their numerical approximation by boundary element methods
Unger, G. & Holzmann, M., Sep 2020, In: Operators and Matrices. 14, 3, p. 555-599 45 p., OaM-14-39.Research output: Contribution to journal › Article › peer-review
Open Access -
Limiting absorption principle and scattering matrix for Dirac operators with δ-shell interactions
Behrndt, J., Holzmann, M., Mantile, A. & Posilicano, A., 1 Mar 2020, In: Journal of Mathematical Physics. 61, 3, 033504.Research output: Contribution to journal › Article › peer-review
Open Access -
Self-adjoint Dirac operators on domains in R^3
Behrndt, J., Holzmann, M. & Mas, A., 2020, In: Annales Henri Poincaré. 21, p. 2681–2735Research output: Contribution to journal › Article › peer-review
Open Access -
Two-dimensional Dirac operators with singular interactions supported on closed curves
Behrndt, J., Holzmann, M., Ourmieres-Bonafos, T. & Pankrashkin, K., 1 Nov 2020, In: Journal of Functional Analysis. 279, 8, 108700.Research output: Contribution to journal › Article › peer-review
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2019
On Dirac operators in $$\mathbb {R}^3$$ R 3 with electrostatic and Lorentz scalar $$\delta $$ δ -shell interactions
Behrndt, J., Exner, P., Holzmann, M. & Lotoreichik, V., 2 Sep 2019, In: Quantum Studies: Mathematics and Foundations. 2019, 6Research output: Contribution to journal › Article › peer-review
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On Dirac operators with electrostatic $\delta$-shell interactions of critical strength
Behrndt, J. & Holzmann, M., 18 Sep 2019, In: Journal of Spectral Theory. 10, 1, p. 147-184Research output: Contribution to journal › Article › peer-review
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The Landau Hamiltonian with δ-potentials supported on curves
Behrndt, J., Exner, P., Holzmann, M. & Lotoreichik, V., 25 Sep 2019, In: Reviews in Mathematical Physics . 32, 4, 20500105.Research output: Contribution to journal › Article › peer-review
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The nonrelativistic limit of Dirac operators with Lorentz scalar δ‐shell interactions
Holzmann, M., Nov 2019, In: Proceedings in Applied Mathematics and Mechanics .Research output: Contribution to journal › Article
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2018
Dirac operators with Lorentz scalar shell interactions
Holzmann, M., Ourmieres-Bonafos, T. & Pankrashkin, K., 2018, In: Reviews in Mathematical Physics . 30, 5, 18500137.Research output: Contribution to journal › Article › peer-review
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On the spectral properties of Dirac operators with electrostatic delta-shell interactions
Holzmann, M., Behrndt, J., Lotoreichik, V. & Exner, P., 2018, In: Journal de Mathématiques Pures et Appliquées. 111, p. 47-78Research output: Contribution to journal › Article › peer-review
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Spectral analysis of photonic crystals made of thin rods
Holzmann, M. & Lotoreichik, V., 2018, In: Asymptotic Analysis. 110, 1-2, p. 83-112Research output: Contribution to journal › Article › peer-review
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Spectral Analysis of Transmission and Boundary Value Problems for Dirac Operators
Holzmann, M., 2018, Graz: Verlag der Technischen Universität Graz.Research output: Thesis › Doctoral Thesis
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2017
Approximation of Schrödinger operators with delta-interactions supported on hypersurfaces
Behrndt, J., Exner, P., Holzmann, M. & Lotoreichik, V., 2017, In: Mathematische Nachrichten. 290, 8-9, p. 1215 - 1248Research output: Contribution to journal › Article › peer-review
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2015
Approximation of Schrödinger operators with delta-potentials supported on hypersurfaces
Holzmann, M., 2015.Research output: Contribution to conference › Poster
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2014
Convergence of 2D-Schrödinger operators with local scaled short-range interactions to a Hamiltonian with infinitely many delta-point interactions
Behrndt, J., Holzmann, M. & Lotoreichik, V., 2014, In: Proceedings in Applied Mathematics and Mechanics . 14, p. 1005-1006Research output: Contribution to journal › Article