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From random matrix theory to statistical mechanics - anyon gas

1996/08/28 by Daniel Alonso, Sudhir R. Jain · 1 citation
Mathematics · Physics and Astronomy · #Quantum chaos and dynamical systems #Random Matrices and Applications #Spectral Theory in Mathematical Physics #chao-dyn #cond-mat #nlin.CD

paper · pdf · doi:10.1016/0370-2693(96)01104-5

11 pages, Revtex, to appear in Physics Letters B

arxiv created 1996/08/28 · openalex publication_date 1996/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Motivated by numerical experiments and studies of quantum systems which are classically chaotic, we take a Random Matrix description of a Hard-sphere gas to Statistical Mechanical description. We apply this to Anyon gas and obtain a formal expression for the momentum distribution. Various limiting situations are discussed and are found in agreement with the well-known results on Hard-sphere gas in low-density regime.

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