Quantum magnetic billiards: boundary conditions and gauge transformations
Quantum Physics
2022-05-31 v2 Mathematical Physics
math.MP
Abstract
We study admissible boundary conditions for a charged quantum particle in a two-dimensional region subjected to an external magnetic field, i.e. a quantum magnetic billiard. After reviewing some physically interesting classes of admissible boundary conditions (magnetic Robin and chiral boundary conditions), we turn our attention to the role of gauge transformations in a magnetic billiard: in particular, we introduce gauge covariant boundary conditions, and find a sufficient condition for gauge covariance which is satisfied by all the aforementioned examples.
Keywords
Cite
@article{arxiv.2109.10275,
title = {Quantum magnetic billiards: boundary conditions and gauge transformations},
author = {Giuliano Angelone and Paolo Facchi and Davide Lonigro},
journal= {arXiv preprint arXiv:2109.10275},
year = {2022}
}
Comments
13 pages, 2 figures; typos corrected