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Universality of Random-Matrix Predictions for the Statistics of Energy Levels

Kamien, Randall D. and Politzer, H. David and Wise, Mark B. (1988) Universality of Random-Matrix Predictions for the Statistics of Energy Levels. Physical Review Letters, 60 (20). pp. 1995-1998. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:KAMprl88

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Abstract

Wigner statistics for correlations of matrix eigenvalues are shown to be a property of any matrix ensemble with a density of levels and probability distributions for matrix elements that are smooth. This justifies the universality of level correlations in generic quantum systems, while suggesting that level widths and other eigenvector-dependent statistics are system dependent.


Item Type:Article
Additional Information:©1988 The American Physical Society Received 3 November 1987
Record Number:CaltechAUTHORS:KAMprl88
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:KAMprl88
Alternative URL:http://dx.doi.org/10.1103/PhysRevLett.60.1995
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3458
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:08 Jun 2006
Last Modified:26 Dec 2012 08:54

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