The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Distribution of Energy Eigenvalues in the Irregular Spectrum
Abstract
The distribution of energy eigenvalues in the irregular spectrum is derived in the semiclassical limit $\ensuremath{\hbar}\ensuremath{\rightarrow}0$ by use of a plausible assumption on the spatial distribution of the corresponding eigenfunctions.
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Citations
Cites
Statistical Theory of the Energy Levels of Complex Systems. I
Dyson, F. J. (1962) · Journal of Mathematical Physics · doi:10.1063/1.1703773 · Cited by 2,266
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
Regular and irregular semiclassical wavefunctions
Berry, M. V. (1977) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/10/12/016 · Cited by 1,208
An introduction to probability theory and its application
Charp, S. (1950) · Journal of the Franklin Institute · doi:10.1016/0016-0032(50)90714-9 · Cited by 736
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
Statistical Theory of the Energy Levels of Complex Systems. III
Dyson, F. J. (1962) · Journal of Mathematical Physics · doi:10.1063/1.1703775 · Cited by 598
Semi-classical mechanics in phase space: A study of Wigner’s function
Berry, M. V. (1977) · Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences · doi:10.1098/rsta.1977.0145 · Cited by 574
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
Quantum ergodicity and vibrational relaxation in isolated molecules
Nordholm, K. S. J., & Rice, S. A. (1974) · The Journal of Chemical Physics · doi:10.1063/1.1681624 · Cited by 224
Cited by
Reaction-rate theory: fifty years after Kramers
Hänggi, P., Talkner, P., & Borkovec, M. (1990) · Reviews of Modern Physics · doi:10.1103/revmodphys.62.251 · Cited by 6,154
Quantum graphs: Applications to quantum chaos and universal spectral statistics
Gnutzmann∥, S., & Smilansky, U. (2006) · Advances in Physics · doi:10.1080/00018730600908042 · Cited by 346
The ergodic side of the many‐body localization transition
Luitz, D. J., & Lev, Y. B. (2017) · Annalen der Physik · doi:10.1002/andp.201600350 · Cited by 308
Modelling chemical reactions using semiconductor quantum dots
Smirnov, A. Y., Savel'ev, S., Mourokh, L. G., & Nori, F. (2007) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/80/67008 · Cited by 40
Metadata
- Authors
- Pechukas, P.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1983-09-12
- Volume
- 51
- Issue
- 11
- Pages
- 943-946
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2089510153
- Cited by
- 406
- References
- 13
- FWCI
- 21.87
- Type
- journal article
- Language
- en
- Open access
- closed
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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.
