Ergodicity of Random-Matrix Theories: The Unitary Case
Mesoscale and Nanoscale Physics
2009-10-31 v1 Statistical Mechanics
Abstract
We prove ergodicity of unitary random-matrix theories by showing that the autocorrelation function with respect to energy or magnetic field strength of any observable vanishes asymptotically. We do so using Efetov's supersymmetry method, a polar decomposition of the saddle-point manifold, and an asymptotic evaluation of the boundary terms generated in this fashion.
Cite
@article{arxiv.cond-mat/9912458,
title = {Ergodicity of Random-Matrix Theories: The Unitary Case},
author = {Z. Pluhar and H. A. Weidenmueller},
journal= {arXiv preprint arXiv:cond-mat/9912458},
year = {2009}
}
Comments
4 pages