Moments of the transmission eigenvalues, proper delay times, and random matrix theory. I

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 β ∈ {1, 2, 4} and finite matrix dimension n. The moments of the Jacobi ensembles have a physical interpretation as the moments of the transm...

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Veröffentlicht in:	Journal of mathematical physics 2011-10, Vol.52 (10), p.103511-103511-29
Hauptverfasser:	Mezzadri, F., Simm, N. J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic methods Eigenvalues Exact sciences and technology Mathematical methods in physics Mathematics Matrix Normal distribution Physics Quantum dots Sciences and techniques of general use
Online-Zugang:	Volltext
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