IDENTICAL PARTICLES, EXOTIC STATISTICS AND BRAID-GROUPS

被引:66
|
作者
IMBO, TD [1 ]
IMBO, CS [1 ]
SUDARSHAN, ECG [1 ]
机构
[1] UNIV TEXAS,DEPT MATH,AUSTIN,TX 78712
关键词
D O I
10.1016/0370-2693(90)92010-G
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The inequivalent quantizations of a system of n identical particles on a manifold M, dim M≥2, are in 1-1 correspondence with irreducible unitary representations of the braid group Bn(M). The notion of the statistics of the particles is made precise. We give various examples where all the possible statistics for the system are determined, and find instances where the particle obey statistics different from the well-studied Bose, Fermi para- and θ-statistics. © 1990.
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页码:103 / 107
页数:5
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