Decomposition of spectral density in individual eigenvalue contributions
Mathematical Physics
2010-08-16 v1 Quantum Gases
math.MP
Abstract
The eigenvalue densities of two random matrix ensembles, the Wigner Gaussian matrices and the Wishart covariant matrices, are decomposed in the contributions of each individual eigenvalue distribution. It is shown that the fluctuations of all eigenvalues, for medium matrix sizes, are described with a good precision by nearly normal distributions.
Cite
@article{arxiv.1008.2321,
title = {Decomposition of spectral density in individual eigenvalue contributions},
author = {O. Bohigas and M. P. Pato},
journal= {arXiv preprint arXiv:1008.2321},
year = {2010}
}
Comments
23 pages, 14 figures