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- W2085777776 abstract "We develop a method to compute the moments of the eigenvalue densities of matrices in the Gaussian, Laguerre and Jacobi ensembles for all the symmetry classes beta = 1,2, 4 and finite matrix dimension n. The moments of the Jacobi ensembles have a physical interpretation as the moments of the transmission eigenvalues of an electron through a quantum dot with chaotic dynamics. For the Laguerre ensemble we also evaluate the finite n negative moments. Physically, they correspond to the moments of the proper delay times, which are the eigenvalues of the Wigner-Smith matrix. Our formulae are well suited to an asymptotic analysis as n -> infinity." @default.
- W2085777776 created "2016-06-24" @default.
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- W2085777776 date "2011-10-01" @default.
- W2085777776 modified "2023-09-27" @default.
- W2085777776 title "Moments of the transmission eigenvalues, proper delay times, and random matrix theory. I" @default.
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- W2085777776 doi "https://doi.org/10.1063/1.3644378" @default.
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