Quasi-exactly solvable problems and random matrix theory
High Energy Physics - Theory
2009-10-28 v1
Abstract
There exists an exact relationship between the quasi-exactly solvable problems of quantum mechanics and models of square and rectangular random complex matrices. This relationship enables one to reduce the problem of constructing topological () expansions in random matrix models to the problem of constructing semiclassical expansions for observables in quasi-exactly solvable problems. Lie algebraic aspects of this relationship are also discussed.
Keywords
Cite
@article{arxiv.hep-th/9510057,
title = {Quasi-exactly solvable problems and random matrix theory},
author = {G. M. Cicuta and A. G. Ushveridze},
journal= {arXiv preprint arXiv:hep-th/9510057},
year = {2009}
}
Comments
nine pages in Latex, no figures