Spacing distributions for some Gaussian ensembles of Hermitian matrices
- 11 November 1983
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 16 (16) , L601-L606
- https://doi.org/10.1088/0305-4470/16/16/003
Abstract
The probability E(n,s) that an interval of length s contains exactly n eigenvalues of a random matrix is expressed in terms of their correlation functions. For the Gaussian ensemble of Hermitian matrices with an arbitrary ratio of their symmetric and antisymmetric parts the authors can thus write E(n,s) as a convergent infinite product multiplied by an infinite sum.Keywords
This publication has 2 references indexed in Scilit:
- Gaussian ensembles of random hermitian matrices intermediate between orthogonal and unitary onesCommunications in Mathematical Physics, 1983
- On some Gaussian ensembles of Hermitian matricesJournal of Physics A: General Physics, 1983