Two phases of the noncommutative quantum mechanics

被引：146

作者：

Bellucci, S

Nersessian, A

Sochichiu, C

机构：

[1] Ist Nazl Fis Nucl, Lab Nazl Frascati, I-00044 Frascati, Italy

[2] Joint Inst Nucl Res, Theoret Phys Lab, Dubna 141980, Russia

[3] Yerevan State Univ, Yerevan 375025, Armenia

[4] Inst Fiz Aplicata AS, MD-2028 Kishinev, Moldova

来源：

PHYSICS LETTERS B | 2001年 / 522卷 / 3-4期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1016/S0370-2693(01)01304-1

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We consider quantum mechanics on the noncommutative plane in the presence of magnetic field B. We show, that the model has two essentially different phases separated by the point B theta = ch(2)/e, where theta is a parameter of noncommutativity. In this point the system reduces to exactly-solvable one-dimensional system. When kappa = 1 - eB theta /ch(2) < 0 there is a finite number of states corresponding to the given value of the angular momentum. In another phase, i.e., when kappa > 0 the number of states is infinite. The perturbative spectrum near the critical point kappa = 0 is computed. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：345 / 349

页数：5

共 13 条

[1] Hydrogen atom spectrum and the Lamb shift in noncommutative QED
Chaichian, M
Sheikh-Jabbari, MM
Tureanu, A
[J]. PHYSICAL REVIEW LETTERS, 2001, 86 (13) : 2716 - 2719
[2] CHAICHIAN M, HEPTH0012175
[3] The exotic Galilei group and the "Peierls substitution"
Duval, C
Horváthy, PA
[J]. PHYSICS LETTERS B, 2000, 479 (1-3) : 284 - 290
[4] GAMBOA J, HEPTH0010220
[5] GURALNIK Z, HEPTH0106044
[6] HATZINIKITAS A, HEPTH0103074
[7] Noncommutativity in space and primordial magnetic field
Mazumdar, A
Sheikh-Jabbari, MM
[J]. PHYSICAL REVIEW LETTERS, 2001, 87 (01) : 1 - 011301
[8] MEZINCESCU L, HEPTH0007046
[9] MORARIU B, HEPTH0102157
[10] Quantum mechanics on the noncommutative plane and sphere
Nair, VP
Polychronakos, AP
[J]. PHYSICS LETTERS B, 2001, 505 (1-4) : 267 - 274

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