Schierenberg, Sebastian and Bruckmann, Falk and Wettig, Tilo (2012) Wigner surmise for mixed symmetry classes in random matrix theory. PHYSICAL REVIEW E, 85 (6): 061130. ISSN 2470-0045, 2470-0053
Full text not available from this repository.Abstract
We consider the nearest-neighbor spacing distributions of mixed random matrix ensembles interpolating between different symmetry classes or between integrable and nonintegrable systems. We derive analytical formulas for the spacing distributions of 2 x 2 or 4 x 4 matrices and show numerically that they provide very good approximations for those of random matrices with large dimension. This generalizes the Wigner surmise, which is valid for pure ensembles that are recovered as limits of the mixed ensembles. We show how the coupling parameters of small and large matrices must be matched depending on the local eigenvalue density.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MANY-PARTICLE SPECTRA; LEVEL STATISTICS; SPACING DISTRIBUTION; DISORDERED-SYSTEMS; TRANSITION; CHAOS; FLUCTUATIONS; ENSEMBLES; BILLIARD; POISSON; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Tilo Wettig |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 12 May 2020 05:26 |
| Last Modified: | 12 May 2020 05:26 |
| URI: | https://pred.uni-regensburg.de/id/eprint/18563 |
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