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.
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页数：15
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