On the noncommutative Aharonov-Bohm effects

被引：16

作者：

Jing, Jian ^{[1
]}

Kong, Ling-Bao ^{[2
]}

Wang, Qing ^{[3
]}

Dong, Shi-Hai ^{[4
]}

机构：

[1] Beijing Univ Chem Technol, Coll Math & Phys, Dept Phys & Elect, Beijing 100029, Peoples R China

[2] Beijing Technol & Business Univ, Dept Phys, Beijing 100048, Peoples R China

[3] Xinjiang Univ, Coll Phys & Technol, Urumqi 830046, Peoples R China

[4] Inst Politecn Nacl, Lab Informac Cuant, UPALM, CIDETEC, Cdmx 07700, Mexico

来源：

PHYSICS LETTERS B | 2020年 / 808卷

关键词：

QUANTUM-MECHANICS; FIELD; QUANTIZATION; PHASE;

D O I：

10.1016/j.physletb.2020.135660

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We revisit time-independent and time-dependent Aharonov-Bohm effects in the noncommutative space-time by investigating a relativistic spin-half particle in the background of a long-thin magnetic-flux-carried solenoid. Our results show that, up to the first order of the noncommutative parameter, there are no noncommutative corrections on the AB effects for both cases. (C) 2020 The Author(s). Published by Elsevier B.V.

引用

页数：4

共 45 条

[1]

Acatrinei C, 2001, J HIGH ENERGY PHYS

[2] Dirac equation in noncommutative space for hydrogen atom [J].

Adorno, T. C. ;

Baldiotti, M. C. ;

Chaichian, M. ;

Gitman, D. M. ;

Tureanu, A. .

PHYSICS LETTERS B, 2009, 682 (02) :235-239

[3] SIGNIFICANCE OF ELECTROMAGNETIC POTENTIALS IN THE QUANTUM THEORY [J].

AHARONOV, Y ;

BOHM, D .

PHYSICAL REVIEW, 1959, 115 (03) :485-491

[4]

[Anonymous], 1999, Journal of High Energy Physics

[5]

[Anonymous], J HIGH ENERGY PHYS

[6] Dirac quantization of open strings and noncommutativity in branes [J].

Ardalan, F ;

Arfaei, H ;

Sheikh-Jabbari, MM .

NUCLEAR PHYSICS B, 2000, 576 (1-3) :578-596

[7] LOCALITY AND CAUSALITY IN TIME-DEPENDENT AHARONOV-BOHM INTERFERENCE [J].

BROWN, RA ;

HOME, D .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1992, 107 (03) :303-316

[8] Noncommutative field theory and Lorentz violation [J].

Carroll, SM ;

Harvey, JA ;

Kostelecky, VA ;

Lane, CD ;

Okamoto, T .

PHYSICAL REVIEW LETTERS, 2001, 87 (14) :141601/1-141601/4

[9] Aharonov-Bohm effect in noncommutative spaces [J].

Chaichian, M ;

Presnajder, P ;

Sheikh-Jabbari, MM ;

Tureanu, A .

PHYSICS LETTERS B, 2002, 527 (1-2) :149-154

[10] Quantum theories on noncommutative spaces with nontrivial topology: Aharonov-Bohm and Casimir effects [J].

Chaichian, M ;

Demichev, A ;

Presnajder, P ;

Sheikh-Jabbari, MM ;

Tureanu, A .

NUCLEAR PHYSICS B, 2001, 611 (1-3) :383-402

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