Universality of Random-Matrix Predictions for the Statistics of Energy Levels
- 16 May 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 60 (20) , 1995-1998
- https://doi.org/10.1103/physrevlett.60.1995
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.Keywords
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