Quantum magnetic billiards: boundary conditions and gauge
transformations
- URL: http://arxiv.org/abs/2109.10275v2
- Date: Wed, 22 Sep 2021 08:16:59 GMT
- Title: Quantum magnetic billiards: boundary conditions and gauge
transformations
- Authors: Giuliano Angelone, Paolo Facchi, Davide Lonigro
- Abstract summary: We study admissible boundary conditions for a charged quantum particle in a two-dimensional region subjected to an external magnetic field.
In particular, we introduce gauge covariant boundary conditions, and find a sufficient condition for gauge covariance.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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