Anyon wave equations and the noncommutative plane

被引：83

作者：

Horváthy, PA

Plyushchay, MS

机构：

[1] Univ Tours, Lab Math & Phys Theor, Tours, France

[2] Inst High Energy Phys, Protvino, Russia

来源：

PHYSICS LETTERS B | 2004年 / 595卷

关键词：

D O I：

10.1016/j.physletb.2004.05.043

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The "Jackiw-Nair" nonrelativistic limit of the relativistic anyon equations provides us with infinite-component wave equations of the Dirac-Majorana-Levy-Leblond type for the "exotic" particle, associated with the two-fold central extension of the planar Galilei group. An infinite dimensional representation of the Galilei group is found. The velocity operator is studied, and the observable coordinates describing a noncommutative plane are identified. (C) 2004 Elsevier B.V. All rights reserved.

引用

收藏

页码：547 / 555

页数：9

相关论文

共 29 条

[1] MOYAL QUANTIZATION OF 2 + 1-DIMENSIONAL GALILEAN SYSTEMS [J].

BALLESTEROS, A ;

GADELLA, M ;

DELOLMO, MA .

JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (10) :3379-3386

[2] RELATIVISTIC FIELD-THEORIES IN 3 DIMENSIONS [J].

BINEGAR, B .

JOURNAL OF MATHEMATICAL PHYSICS, 1982, 23 (08) :1511-1517

[3]

Brihaye Y., HEPTH9503046

[4] LINEAR-DIFFERENTIAL EQUATIONS FOR A FRACTIONAL SPIN FIELD [J].

CORTES, JL ;

PLYUSHCHAY, MS .

JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (11) :6049-6057

[5]

Davydov A. S., 1965, QUANTUM MECH

[6] POSITIVE-ENERGY RELATIVISTIC WAVE-EQUATION .2. [J].

DIRAC, PAM .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1972, 328 (1572) :1-&

[7] POSITIVE-ENERGY RELATIVISTIC WAVE EQUATION [J].

DIRAC, PAM .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1971, 322 (1551) :435-&

[8] Spin and exotic Galilean symmetry [J].

Duval, C ;

Horváthy, PA .

PHYSICS LETTERS B, 2002, 547 (3-4) :306-312

[9] Exotic Galilean symmetry in the non-commutative plane and the Hall effect [J].

Duval, C ;

Horváthy, PA .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (47) :10097-10107

[10] The exotic Galilei group and the "Peierls substitution" [J].

Duval, C ;

Horváthy, PA .

PHYSICS LETTERS B, 2000, 479 (1-3) :284-290