FLAT CONNECTIONS ON QUANTUM BUNDLES AND FRACTIONAL STATISTICS IN GEOMETRIC-QUANTIZATION

被引:1
|
作者
YU, Y
ZHU, ZY
LEE, HC
机构
[1] CCAST,WORLD LAB,BEIJING 100080,PEOPLES R CHINA
[2] AECL RES,CHALK RIVER LABS,THEORET PHYS BRANCH,CHALK RIVER K0J 1J0,ON,CANADA
[3] UNIV WESTERN ONTARIO,DEPT APPL MATH,LONDON N6A 5B9,ONTARIO,CANADA
关键词
D O I
10.1063/1.530205
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is shown that in geometric quantization formulation, fractional statistics in a quantized system of N indistinguishable particles in two spatial dimensions arise from the nontrivial cohomology of the flat connection on the quantum line bundles as well as from the nontrivial homology of the configuration space. The propagator of a nonrelativistic interacting system with fractional statistics is derived.
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页码:988 / 996
页数:9
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