Abstract
A Gaussian ensemble of Hermitian matrices depending on a parameter α is considered. When α=0, the ensemble is Gaussian Orthogonal, and when α=1, it is Gaussian Unitary. An analytic expression for then-level correlation and cluster functions is given for anyn and 0≦α≦1. This ensemble is of relevance in the study of time reversal symmetry breaking of nuclear interactions.
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Communicated by H. Araki
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Pandey, A., Mehta, M.L. Gaussian ensembles of random hermitian matrices intermediate between orthogonal and unitary ones. Commun.Math. Phys. 87, 449–468 (1983). https://doi.org/10.1007/BF01208259
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DOI: https://doi.org/10.1007/BF01208259