Exotic Galilean symmetry in the non-commutative plane and the Hall effect

被引：187
|
作者：
Duval, C
Horváthy, PA
机构：
[1] CNRS, Ctr Phys Theor, F-13288 Marseille 9, France
[2] Univ Tours, Lab Math & Phys Theor, F-37200 Tours, France
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 47期
关键词：
D O I：
10.1088/0305-4470/34/47/314
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Quantum mechanics in the non-commutative plane is shown to admit the 'exotic' symmetry of the doubly centrally extended Galilei group. When coupled to a planar magnetic field whose strength is the inverse of the noncommutative parameter, the system becomes singular, and 'Faddeev-Jackiw' reduction yields the 'Chem-Simons' mechanics of Dunne et al. The reduced system moves according to the Hall law.
引用
收藏
页码：10097 / 10107
页数：11
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