GAP FORMATION PROBABILITY OF THE α-ENSEMBLE-Reference-Cited by-同舟云学术

GAP FORMATION PROBABILITY OF THE α-ENSEMBLE

Published:1995-04-30 Issue:10 Volume:09 Page:1205-1225
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

CHEN YANG¹,ERIKSEN KASPER JUEL¹²

Affiliation:

1. Department of Mathematics, Imperial College, 180 Queen’s Gate, London SW7 2BZ, U.K.

2. Ørsted Laboratory, Niels Bohr Institute H.C.Ø. Universitetsparken 5, 2100 Kbh. Ø, Denmark

Abstract

In this paper we employ the continuum approximation of Dyson to determine the asymptotic gap formation probability in the spectrum of N×N Hermitian matrices associated with orthogonal polynomials that are solutions of indeterminate moment problems. We have shown that the probability, Eβ[J], that an interval J is free of eigenvalues is [Formula: see text] where [Formula: see text]

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979295000513

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