Aharonov-Anandan quantum phases and Landau quantization associated with a magnetic quadrupole moment

被引：26

作者：

Fonseca, I. C. ^{[1
]}

Bakke, K. ^{[1
]}

机构：

[1] Univ Fed Paraiba, Dept Fis, BR-58051970 Joao Pessoa, Paraiba, Brazil

来源：

ANNALS OF PHYSICS | 2015年 / 363卷

关键词：

Magnetic quadrupole moment; Aharonov-Anandan phase; Scalar Aharonov-Bohm effect; Geometric phase; Persistent currents; Landau quantization; ELECTRIC-DIPOLE MOMENT; NONDISPERSIVE PHASE; ANALOG; SPACE; MASS;

D O I：

10.1016/j.aop.2015.09.027

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The arising of geometric quantum phases in the wave function of a moving particle possessing a magnetic quadrupole moment is investigated. It is shown that an Aharonov-Anandan quantum phase (Aharonov and Anandan, 1987) can be obtained in the quantum dynamics of a moving particle with a magnetic quadrupole moment. In particular, it is obtained as an analogue of the scalar Aharonov-Bohm effect for a neutral particle (Anandan, 1989). Besides, by confining the quantum particle to a hard-wall confining potential, the dependence of the energy levels on the geometric quantum phase is discussed and, as a consequence, persistent currents can arise from this dependence. Finally, an analogue of the Landau quantization is discussed. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：253 / 261

页数：9

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