Variance Calculations and the Bessel Kernel
凝聚态物理
2009-07-11 v2 高能物理 - 理论
数学物理
math.MP
可精确求解与可积系统
solv-int
摘要
In the Laguerre ensemble of N x N (positive) hermitian matrices, it is of interest both theoretically and for applications to quantum transport problems to compute the variance of a linear statistic, denoted var_N f, as N->infinity. Furthermore, this statistic often contains an additional parameter alpha for which the limit alpha->infinity is most interesting and most difficult to compute numerically. We derive exact expressions for both lim_{N->infinity} var_N f and lim_{alpha->infinity}lim_{N->infinity} var_N f.
引用
@article{arxiv.cond-mat/9304024,
title = {Variance Calculations and the Bessel Kernel},
author = {Estelle L. Basor and Craig A. Tracy},
journal= {arXiv preprint arXiv:cond-mat/9304024},
year = {2009}
}
备注
7 pages; resubmitted to make postscript compatible