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 | 59 | 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 |