Parametric level statistics in random matrix theory: Exact solution

Details Parametric level statistics in random matrix theory: Exact solution Parametric level statistics in random matrix theory: Exact solution

1999-04-02

arxiv.org/abs/cond-mat/9904043v1

Physical Review Letters 82, 3030 (1999)

Physics

Condensed Matter

Statistical Mechanics

4 pages (revtex)

Scientific paper

10.1103/PhysRevLett.82.3030

An exact solution to the problem of parametric level statistics in non-Gaussian ensembles of N by N Hermitian random matrices with either soft or strong level confinement is formulated within the framework of the orthogonal polynomial technique. Being applied to random matrices with strong level confinement, the solution obtained leads to emergence of a new connection relation that makes a link between the parametric level statistics and the scalar two-point kernel in the thermodynamic limit.

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