Quasi-exactly solvable problems and random matrix theory

G. M. Cicuta; A. G. Ushveridze

doi:10.1016/0375-9601(96)00244-7

Quasi-exactly solvable problems and random matrix theory

高能物理 - 理论 2009-10-28 v1

作者: G. M. Cicuta , A. G. Ushveridze

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摘要

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.

关键词

painlevé equations and orthogonal polynomials quantum algebra positive maps in quantum information

引用

@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}
}

备注

nine pages in Latex, no figures

Quasi-exactly solvable problems and random matrix theory

摘要

关键词

引用

备注

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