On the spectral properties of Dirac operators with electrostatic δ-shell interactions J Behrndt, P Exner, M Holzmann, V Lotoreichik
Journal de Mathématiques Pures et Appliquées 111, 47-78, 2018
61 2018 On Dirac operators in with electrostatic and Lorentz scalar -shell interactions J Behrndt, P Exner, M Holzmann, V Lotoreichik
Quantum Studies: Mathematics and Foundations 6 (3), 295-314, 2019
58 2019 Approximation of Schrödinger operators with δ‐interactions supported on hypersurfaces J Behrndt, P Exner, M Holzmann, V Lotoreichik
Mathematische Nachrichten 290 (8-9), 1215-1248, 2017
49 2017 On Dirac operators with electrostatic -shell interactions of critical strength J Behrndt, M Holzmann
Journal of spectral theory 10 (1), 147-184, 2019
36 2019 Two-dimensional Dirac operators with singular interactions supported on closed curves J Behrndt, M Holzmann, T Ourmières-Bonafos, K Pankrashkin
Journal of Functional Analysis 279 (8), 108700, 2020
35 2020 Self-Adjoint Dirac Operators on Domains in J Behrndt, M Holzmann, A Mas
Annales Henri Poincaré 21 (8), 2681-2735, 2020
27 2020 Dirac operators with Lorentz scalar shell interactions M Holzmann, T Ourmières-Bonafos, K Pankrashkin
Reviews in mathematical physics 30 (05), 1850013, 2018
26 2018 Boundary triples and Weyl functions for Dirac operators with singular interactions J Behrndt, M Holzmann, C Stelzer, G Stenzel
arXiv preprint arXiv:2211.05191, 2022
16 2022 A note on the three dimensional Dirac operator with zigzag type boundary conditions M Holzmann
Complex Analysis and Operator Theory 15 (3), 47, 2021
15 2021 The Landau Hamiltonian with -potentials supported on curves J Behrndt, P Exner, M Holzmann, V Lotoreichik
Reviews in mathematical physics 32 (04), 2050010, 2020
14 2020 Two-dimensional Dirac operators with general δ-shell interactions supported on a straight line J Behrndt, M Holzmann, M Tušek
Journal of Physics A: Mathematical and Theoretical 56 (4), 045201, 2023
11 2023 A class of singular perturbations of the Dirac operator: boundary triplets and Weyl functions J Behrndt, M Holzmann, C Stelzer, G Stenzel
Contributions to Mathematics and Statistics: Essays in honour of Seppo Hassi …, 2021
9 2021 Boundary integral formulations of eigenvalue problems for elliptic differential operators with singular interactions and their numerical approximation by boundary element methods G Unger, M Holzmann
Operators and Matrices 2020 (14), 2020
7 * 2020 Limiting absorption principle and scattering matrix for Dirac operators with δ -shell interactions J Behrndt, M Holzmann, A Mantile, A Posilicano
Journal of Mathematical Physics 61 (3), 033504, 2020
6 2020 Dirac operator spectrum in tubes and layers with a zigzag-type boundary P Exner, M Holzmann
Letters in Mathematical Physics 112 (5), 102, 2022
5 2022 Spectral Transition for Dirac Operators with Electrostatic -Shell Potentials Supported on the Straight Line J Behrndt, M Holzmann, M Tušek
Integral Equations and Operator Theory 94 (3), 33, 2022
5 2022 Approximation of Dirac operators with -shell potentials in the norm resolvent sense J Behrndt, M Holzmann, C Stelzer
arXiv preprint arXiv:2308.13344, 2023
3 * 2023 Schrödinger Operators with Oblique Transmission Conditions in [... formula...] J Behrndt, M Holzmann, G Stenzel
Communications in Mathematical Physics 401 (3), 3149, 2023
3 2023 Spectral analysis of photonic crystals made of thin rods M Holzmann, V Lotoreichik
Asymptotic Analysis 110 (1-2), 83-112, 2018
3 2018 Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities J Behrndt, D Frymark, M Holzmann, C Stelzer-Landauer
arXiv preprint arXiv:2312.14550, 2023
2 2023