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
66 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
60 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
50 2017 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
39 2020 On Dirac operators with electrostatic -shell interactions of critical strength J Behrndt, M Holzmann
Journal of spectral theory 10 (1), 147-184, 2019
37 2019 Self-Adjoint Dirac Operators on Domains in J Behrndt, M Holzmann, A Mas
Annales Henri Poincaré 21 (8), 2681-2735, 2020
29 2020 Dirac operators with Lorentz scalar shell interactions M Holzmann, T Ourmières-Bonafos, K Pankrashkin
Reviews in mathematical physics 30 (05), 1850013, 2018
27 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
18 2022 The Landau Hamiltonian with -potentials supported on curves J Behrndt, P Exner, M Holzmann, V Lotoreichik
Reviews in mathematical physics 32 (04), 2050010, 2020
18 2020 A note on the three dimensional Dirac operator with zigzag type boundary conditions M Holzmann
Complex Analysis and Operator Theory 15 (3), 47, 2021
17 2021 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
12 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
10 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
8 * 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
7 2020 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
6 2022 Schrödinger Operators with Oblique Transmission Conditions in [... formula...] J Behrndt, M Holzmann, G Stenzel
Communications in Mathematical Physics 401 (3), 3149, 2023
5 2023 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 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 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
Mathematical Physics, Analysis and Geometry 27 (3), 12, 2024
2 2024