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.
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页码：547 / 555
页数：9
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