Quantum magnetic billiards: boundary conditions and gauge transformations

被引：2

作者：

Angelone, Giuliano ^{[1
]}

Facchi, Paolo

Lonigro, Davide

机构：

[1] Univ Bari, Dipartimento Fis, I-70126 Bari, Italy

来源：

ANNALS OF PHYSICS | 2022年 / 442卷

关键词：

Quantum billiard; Self-adjoint extension; Quantum boundary condition; Gauge transformation; SELF-ADJOINT EXTENSIONS; SCHRODINGER-OPERATORS; CLASSICAL BILLIARDS; GLOBAL THEORY; LAPLACIAN;

D O I：

10.1016/j.aop.2022.168914

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. (c) 2022 Elsevier Inc. All rights reserved.

引用

页数：15

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