Quantum Phase for an Electric Multipole Moment in Noncommutative Quantum Mechanics

被引：3

作者：

Hekim, Mamatabdulla ^{[1
]}

Anwar, Abduwali ^{[2
]}

Wang, Jianhua ^{[3
]}

机构：

[1] Hotan Teachers Collage, Dept Phys, Hotan 848000, Xinjiang, Peoples R China

[2] Urumqi Natl Cadre Coll, Urumqi 830046, Xinjiang, Peoples R China

[3] Shaanxi Univ Technol, Dept Phys, Xian 723000, Peoples R China

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2016年 / 55卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Noncommutative quantum mechanics; Quantum phase; AHARONOV-BOHM; NEUTRAL PARTICLES; SPIN-1; PARTICLES; SPACE; SHIFT;

D O I：

10.1007/s10773-016-2953-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the noncommutative nonrelativistic quantum dynamics of a neutral particle, which possesses an electric multipole moment, in the presence of an external magnetic field. First, by introducing a shift for the magnetic field we give the Schrodinger equations in the presence of an external magnetic field both on a noncommutative space and a noncommutative phase space, respectively. Then by solving the Schrodinger equations, we obtain quantum phases of the electric multipole moment both on a noncommutative space and a noncommutative phase space. We demonstrate that these phase are geometric and dispersive.

引用

页码：3226 / 3233

页数：8

共 36 条

[1] TOPOLOGICAL QUANTUM EFFECTS FOR NEUTRAL PARTICLES [J].

AHARONOV, Y ;

CASHER, A .

PHYSICAL REVIEW LETTERS, 1984, 53 (04) :319-321

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

AHARONOV, Y ;

BOHM, D .

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

[3]

Anwar A., 2012, PHYS RE A UNPUB 0126

[4] Quantum electrodynamics on noncommutative spacetime [J].

Calmet, X. .

EUROPEAN PHYSICAL JOURNAL C, 2007, 50 (01) :113-116

[5] 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

[6] 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

[7] SHIFT OF AN ELECTRON INTERFERENCE PATTERN BY ENCLOSED MAGNETIC FLUX [J].

CHAMBERS, RG .

PHYSICAL REVIEW LETTERS, 1960, 5 (01) :3-5

[8] TOPOLOGICAL QUANTUM PHASE AND MULTIPOLE MOMENT OF NEUTRAL PARTICLES [J].

CHEN, CC .

PHYSICAL REVIEW A, 1995, 51 (03) :2611-2613

[9] OBSERVATION OF THE TOPOLOGICAL AHARONOV-CASHER PHASE-SHIFT BY NEUTRON INTERFEROMETRY [J].

CIMMINO, A ;

OPAT, GI ;

KLEIN, AG ;

KAISER, H ;

WERNER, SA ;

ARIF, M ;

CLOTHIER, R .

PHYSICAL REVIEW LETTERS, 1989, 63 (04) :380-383

[10] Features of time-independent Wigner functions [J].

Curtright, T ;

Fairlie, D ;

Zachos, C .

PHYSICAL REVIEW D, 1998, 58 (02)

← 1 2 3 4 →