Quantum magnetic billiards: boundary conditions and gauge transformations

Angelone G, Facchi P, Lonigro D (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Annals of Physics Elsevier Masson

Book Volume: 442

Article Number: 168914

DOI: 10.1016/j.aop.2022.168914

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.

Authors with CRIS profile

Davide Lonigro

Involved external institutions

University of Bari Aldo Moro / Università degli Studi di Bari Aldo Moro IT Italy (IT)

How to cite

APA:

Angelone, G., Facchi, P., & Lonigro, D. (2022). Quantum magnetic billiards: boundary conditions and gauge transformations. Annals of Physics, 442. https://doi.org/10.1016/j.aop.2022.168914

MLA:

Angelone, Giuliano, Paolo Facchi, and Davide Lonigro. "Quantum magnetic billiards: boundary conditions and gauge transformations." Annals of Physics 442 (2022).

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