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arXiv · hep-th/9510057

Quasi-exactly solvable problems and random matrix theory

G. M. Cicuta·A. G. Ushveridze
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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 ($1/N$) 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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G. M. Cicuta, A. G. Ushveridze. 1995-10-10. Quasi-exactly solvable problems and random matrix theory. https://doi.org/10.1016/0375-9601(96)00244-7

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