@article{10902/28509,
year = {2022},
month = {7},
url = {https://hdl.handle.net/10902/28509},
abstract = {We investigate the properties of self-adjointness of a two-dimensional Dirac operator on an infinite sector with infinite mass boundary conditions and in the presence of a Coulomb-type potential with the singularity placed on the vertex. In the general case, we prove the appropriate Dirac-Hardy inequality and exploit the Kato-Rellich theory. In the explicit case of a Coulomb potential, we describe the self-adjoint extensions for all the intensities of the potential relying on a radial decomposition in partial wave subspaces adapted to the infinite-mass boundary conditions. Finally, we integrate our results, giving a description of the spectrum of these operators.},
organization = {The authors would like to express their gratitude to the organizers of the conference. This work was partially supported by MIUR-PRIN 2017 Project MaQuMA cod. 2017ASFLJR. This work was partially developed when F.P. was employed at CNRS & CEREMADE—Université Paris Dauphine, and he was partially supported under Project No. ANR-17-CE29-0004 molQED from the Agence Nationale de la Recherche. He also received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 Research and Innovation Program (Grant Agreement MDFT No. 725528 of Mathieu Lewin).},
publisher = {American Institute of Physics},
publisher = {Journal of Mathematical Physics, 2022, 63(7), 071503},
title = {Dirac-Coulomb operators with infinite mass boundary conditions in sectors},
author = {Cassano, Biagio and Gallone, Matteo and Pizzichillo, Fabio},
}