Spectral statistics in semiclassical random-matrix ensembles
Journal Article
·
· Physical Review Letters; (USA)
- Lawrence Berkeley Laboratory and Department of Physics, University of California, Berkeley, California 94720 (US)
- Department of Chemistry, Brown University, Providence, Rhode Island 02912 (USA)
- Department of Physics and Applied Physics, University of Strathclyde, Glasgow G4 ONG, Scotland (United Kingdom)
A novel random-matrix ensemble is introduced which mimics the global structure inherent in the Hamiltonian matrices of autonomous, ergodic systems. Changes in its parameters induce a transition between a Poisson and a Wigner distribution for the level spacings, {ital P}({ital s}). The intermediate distributions are uniquely determined by a single scaling variable. Semiclassical constraints force the ensemble to be in a regime with Wigner {ital P}({ital s}) for systems with more than two freedoms.
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 5618998
- Journal Information:
- Physical Review Letters; (USA), Journal Name: Physical Review Letters; (USA) Vol. 66:8; ISSN PRLTA; ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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