Flat Connections on Quantum Bundles and Fractional Statistic in Geometric Quantization

信阳师范学院学报(自然科学版)

信阳师范学院学报(自然科学版). Flat Connections on Quantum Bundles and Fractional Statistic in Geometric Quantization[J]. 信阳师范学院学报(自然科学版), 1991, 4(3): 50-59.
引用本文: 信阳师范学院学报(自然科学版). Flat Connections on Quantum Bundles and Fractional Statistic in Geometric Quantization[J]. 信阳师范学院学报(自然科学版), 1991, 4(3): 50-59.

Flat Connections on Quantum Bundles and Fractional Statistic in Geometric Quantization

基金项目: 

  • 摘要: It is shown that in the 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 bundle as well as from the nontrival homology of the configuration space. The propagator of an nonrelativistic interacting system with fractional statistics is derived.
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出版历程
  • 收稿日期:  1899-12-31
  • 发布日期:  1991-07-09

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