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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