Statistics of infinite dimensional random matrix ensembles
Statistical Mechanics
2007-05-23 v2
Abstract
A quantum statistical system with energy dissipation is studied. Its statisitics is governed by random complex-valued non-Hermitean Hamiltonians belonging to complex Ginibre ensemble. The eigenenergies are shown to form stable structure in thermodynamical limit (large matrix dimension limit). Analogy of Wigner and Dyson with system of electrical charges is drawn.
Cite
@article{arxiv.cond-mat/0301607,
title = {Statistics of infinite dimensional random matrix ensembles},
author = {Maciej M. Duras},
journal= {arXiv preprint arXiv:cond-mat/0301607},
year = {2007}
}
Comments
5 pages; presented at poster session of the conference "Statistical Mechanics of Space-Time Chaos"; July 12th, 2000 to July 16th, 2000; Max Planck Institute for the Physics of Complex Systems; Dresden, Germany (2000)