Classical phase space and statistical mechanics of identical particles

Abstract

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 {\em classical} statistical mechanics is shown to be a nontrivial classical limit of Haldane's exclusion statistics.

40 pages, Latex

Cited by in corpus (8)

• Non-commutative Soliton Scattering
• Exclusion Statistics in a trapped two-dimensional Bose gas
• Charge and Current in the Quantum Hall Matrix Model
• A Quantum Hall Fluid of Vortices
• Slow Schroedinger dynamics of gauged vortices
• Moduli-Space Dynamics of Noncommutative Abelian Sigma-Model Solitons
• Time dependent solitons of noncommutative Chern-Simons theory coupled to scalar fields
• Dynamics of "Classical" Bosons, Fermions, and beyond