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Semiclassical level spacings when regular and chaotic orbits coexist
Abstract
The authors calculate semiclassical limiting level spacing distributions P(S) for systems whose classical energy surface is divided into a number of separate region in which motion is regular or chaotic. In the calculation it is assumed that the spectrum is the superposition of statistically independent sequences of levels from each of the classical phase-space regions, sequences from regular regions, having Poisson distributions and those from irregular regions having Wigner distributions. The formulae for P(S) depend on the sum of the Liouville measures of all the classical regular regions, and on the separate Liouville measures of the significant chaotic regions.
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Cited by
Composed ensembles of random unitary matrices
Pozniak, M., Zyczkowski, K., & Kus, M. (1998) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/31/3/016 · Cited by 128
Metadata
- Authors
- Berry, M. V., & Robnik, M.
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 1984-08-21
- Volume
- 17
- Issue
- 12
- Pages
- 2413-2421
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W2058802173
- Cited by
- 594
- References
- 0
- FWCI
- 10.16
- Type
- journal article
- Language
- en
- Open access
- closed
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- Berry, M. V., & Robnik, M. (1984). Semiclassical level spacings when regular and chaotic orbits coexist. Journal of Physics A: Mathematical and General. https://doi.org/10.1088/0305-4470/17/12/013
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
