Intruder States and their Local Effect on Spectral Statistics

J. Flores; H. Hernandez-Saldaña; F. Leyvraz; T. H. Seligman

doi:10.1088/0305-4470/31/6/003

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arXiv · chao-dyn/9703008

Intruder States and their Local Effect on Spectral Statistics

J. Flores·H. Hernandez-Saldaña·F. Leyvraz·T. H. Seligman

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Abstract

The effect on spectral statistics and on the revival probability of intruder states in a random background is analysed numerically and with perturbative methods. For random coupling the intruder does not affect the GOE spectral statistics of the background significantly, while a constant coupling causes very strong correlations at short range with a fourth power dependence of the spectral two-point function at the origin.The revival probability is significantly depressed for constant coupling as compared to random coupling.

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J. Flores, H. Hernandez-Saldaña, F. Leyvraz, T. H. Seligman. 1997-03-17. Intruder States and their Local Effect on Spectral Statistics. https://doi.org/10.1088/0305-4470%2F31%2F6%2F003

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