Hansson T H, Isakov S B, Leinaas J M, Lindström U
Department of Physics, University of Stockholm, P.O. Box 6730, S-11385 Stockholm, Sweden.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Feb;63(2 Pt 2):026102. doi: 10.1103/PhysRevE.63.026102. Epub 2001 Jan 17.
Starting from the quantum theory of identical particles, we show how to define a classical mechanics that retains information about the quantum statistics. We consider two examples of relevance for the quantum Hall effect: identical particles in the lowest Landau level, and vortices in the Chern-Simons Ginzburg-Landau model. In both cases the resulting classical statistical mechanics is shown to be a nontrivial classical limit of Haldane's exclusion statistics.
从全同粒子的量子理论出发，我们展示了如何定义一种保留量子统计信息的经典力学。我们考虑了与量子霍尔效应相关的两个例子：最低朗道能级中的全同粒子，以及陈 - 西蒙斯金兹堡 - 朗道模型中的涡旋。在这两种情况下，所得的经典统计力学都被证明是霍尔丹排斥统计的一个非平凡经典极限。
