On the moments of the distribution of widths corresponding to an ensemble of random matrices
- 1 May 1974
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 15 (5), 596-601
- https://doi.org/10.1063/1.1666691
Abstract
In this work, we discuss the moments of the width distribution corresponding to an ensemble of random matrices. The ensemble considered is one where the real and imaginary parts of the Hamiltonian matrices have Gaussian distributions with different widths. In particular, we give exact expressions for the moments when N = 2 (N = dimension of the Hamiltonian submatrix with a fixed set of quantum numbers) and give a method for obtaining a power series representation when N is arbitrary.Keywords
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