Quasi-exactly solvable problems and random matrix theory

Details Quasi-exactly solvable problems and random matrix theory Quasi-exactly solvable problems and random matrix theory

1995-10-10

arxiv.org/abs/hep-th/9510057v1

Physics

High Energy Physics

High Energy Physics - Theory

nine pages in Latex, no figures

Scientific paper

10.1016/0375-9601(96)00244-7

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 ($1/N$) 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.

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