A strategy for self-adjointness of Dirac operators: applications to the MIT bag model and -shell interactions T Ourmières-Bonafos, L Vega | 57 | 2018 |
Self-adjointness of Dirac operators with infinite mass boundary conditions in sectors L Le Treust, T Ourmières-Bonafos Annales Henri Poincaré 19, 1465-1487, 2018 | 37 | 2018 |
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 |
Dirac operators with Lorentz scalar shell interactions M Holzmann, T Ourmières-Bonafos, K Pankrashkin Reviews in mathematical physics 30 (05), 1850013, 2018 | 26 | 2018 |
On the bound states of Schrödinger operators with δ-interactions on conical surfaces V Lotoreichik, T Ourmières-Bonafos Communications in Partial Differential Equations 41 (6), 999-1028, 2016 | 25 | 2016 |
A sharp upper bound on the spectral gap for graphene quantum dots V Lotoreichik, T Ourmières-Bonafos Mathematical Physics, Analysis and Geometry 22, 1-30, 2019 | 22 | 2019 |
Spectral asymptotics of the Dirichlet Laplacian in a conical layer M Dauge, T Ourmières-Bonafos, N Raymond arXiv preprint arXiv:1411.6383, 2014 | 22 | 2014 |
Dirac operators and shell interactions: a survey T Ourmières-Bonafos, F Pizzichillo Mathematical Challenges of Zero-Range Physics: Models, Methods, Rigorous …, 2021 | 20 | 2021 |
Dirac operators on hypersurfaces as large mass limits A Moroianu, T Ourmières-Bonafos, K Pankrashkin Communications in Mathematical Physics 374 (3), 1963-2013, 2020 | 20 | 2020 |
Discrete spectrum of interactions concentrated near conical surfaces T Ourmières-Bonafos, K Pankrashkin Applicable Analysis 97 (9), 1628-1649, 2018 | 16 | 2018 |
Spectral properties of relativistic quantum waveguides W Borrelli, P Briet, D Krejčiřík, T Ourmières-Bonafos Annales Henri Poincaré 23 (11), 4069-4114, 2022 | 13 | 2022 |
Effective operators for Robin eigenvalues in domains with corners M Khalile, T Ourmières-Bonafos, K Pankrashkin Annales de l'Institut Fourier 70 (5), 2215-2301, 2020 | 13 | 2020 |
Dirichlet spectrum of the Fichera layer M Dauge, Y Lafranche, T Ourmières-Bonafos Integral Equations and Operator Theory 90 (5), 60, 2018 | 13 | 2018 |
A variational formulation for Dirac operators in bounded domains. Applications to spectral geometric inequalities PRS Antunes, RD Benguria, V Lotoreichik, T Ourmières-Bonafos Communications in Mathematical Physics 386 (2), 781-818, 2021 | 12 | 2021 |
Dirichlet eigenvalues of asymptotically flat triangles T Ourmières-Bonafos Asymptotic Analysis 92 (3-4), 279-312, 2015 | 10 | 2015 |
Dirichlet eigenvalues of cones in the small aperture limit T Ourmières-Bonafos Journal of Spectral Theory 4 (3), 485-513, 2014 | 7 | 2014 |
Spectral transitions for Aharonov-Bohm Laplacians on conical layers D Krejčiřík, V Lotoreichik, T Ourmières-Bonafos Proceedings of the Royal Society of Edinburgh Section A: Mathematics 149 (6 …, 2019 | 6 | 2019 |
Spectral asymptotics for δ-interactions on sharp cones T Ourmières-Bonafos, K Pankrashkin, F Pizzichillo Journal of Mathematical Analysis and Applications 458 (1), 566-589, 2018 | 5 | 2018 |
Spectral asymptotics of the Dirac operator in a thin shell V Lotoreichik, T Ourmières-Bonafos arXiv preprint arXiv:2307.09033, 2023 | 2 | 2023 |
Spectral asymptotics for two-dimensional Dirac operators in thin waveguides W Borrelli, N Kerraoui, T Ourmières-Bonafos INdAM Meeting: Quantum Mathematics Workshop, 165-182, 2022 | 1 | 2022 |