The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
Abstract
It is found that the level fluctuations of the quantum Sinai's billiard are consistent with the predictions of the Gaussian orthogonal ensemble of random matrices. This reinforces the belief that level fluctuation laws are universal.
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Citations
Cites
Random-matrix physics: spectrum and strength fluctuations
Brody, T. A., Flores, J., French, J. B., Mello, P. A., Pandey, A., & Wong, S. S. M. (1981) · Reviews of Modern Physics · doi:10.1103/revmodphys.53.385 · Cited by 2,140
Level clustering in the regular spectrum
Berry, M. V., & Tabor, M. (1977) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1977.0140 · Cited by 1,379
Spectrum and Eigenfunctions for a Hamiltonian with Stochastic Trajectories
McDonald, S. W., & Kaufman, A. N. (1979) · Physical Review Letters · doi:10.1103/physrevlett.42.1189 · Cited by 603
Quantizing a classically ergodic system: Sinai's billiard and the KKR method
Berry, M. V. (1981) · Annals of Physics · doi:10.1016/0003-4916(81)90189-5 · Cited by 474
On the connection between quantization of nonintegrable systems and statistical theory of spectra
Casati, G., Valz-Gris, F., & Guarnieri, I. (1980) · Lettere al Nuovo Cimento · doi:10.1007/bf02798790 · Cited by 385
Fluctuation Properties of Nuclear Energy Levels: Do Theory and Experiment Agree?
Haq, R. U., Pandey, A., & Bohigas, O. (1982) · Physical Review Letters · doi:10.1103/physrevlett.48.1086 · Cited by 365
Self-citation
Cited by
Random-matrix theory of quantum transport
Beenakker, C. W. J. (1997) · Reviews of Modern Physics · doi:10.1103/revmodphys.69.731 · Cited by 2,551
Dynamics of Loschmidt echoes and fidelity decay
Gorin, T., Prosen, T., Seligman, T. H., & Žnidarič, M. (2006) · Physics Reports · doi:10.1016/j.physrep.2006.09.003 · Cited by 623
Spectroscopic signatures of localization with interacting photons in superconducting qubits
Roushan, P., Neill, C., Tangpanitanon, J., Bastidas, V. M., Megrant, A., Barends, R., Chen, Y., Chen, Z., Chiaro, B., Dunsworth, A., et al. (2017) · Science · doi:10.1126/science.aao1401 · Cited by 460
Spectrum of the QCD Dirac operator and chiral random matrix theory
Verbaarschot, J. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.2531 · Cited by 459
A Universal Operator Growth Hypothesis
Parker, D. E., Cao, X., Avdoshkin, A., Scaffidi, T., & Altman, E. (2019) · Physical Review X · doi:10.1103/physrevx.9.041017 · Cited by 367
Metadata
- Authors
- Bohigas, O., Giannoni, M. J., & Schmit, C.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1984-01-02
- Volume
- 52
- Issue
- 1
- Pages
- 1-4
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2093315095
- Cited by
- 2,750
- References
- 6
- FWCI
- 29.71
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws. https://app.cochat.ai/papers/10.1103/physrevlett.52.1
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- Bohigas, O., Giannoni, M. J., & Schmit, C. (1984). Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws. Physical Review Letters. https://doi.org/10.1103/physrevlett.52.1
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.
