GAP FORMATION PROBABILITY OF THE α-ENSEMBLE
- 30 April 1995
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Modern Physics B
- Vol. 9 (10) , 1205-1225
- https://doi.org/10.1142/s0217979295000513
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 whereKeywords
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