Parametric motion of energy levels in quantum chaotic systems. II. Avoided-crossing distributions

1993
journal article
article
dc.abstract.enStatistical properties of levels of quantum systems chaotic in the classical limit are studied using the distribution of avoided crossings, i.e., of the sizes of local minima of adjacent-level spacings. The results obtained previously for the two-level random-matrix theory are compared with the prediction of the statistical-mechanics description of the equivalent fictitious-particle system. The distributions derived are compared with numerical results obtained for several physical systems. The origin of the discrepancies (in former numerical calculations) of small-avoided-crossing behavior is found. The ratio of the average crossing to the average spacing is shown to have a nonuniversal behavior and seems to provide information on the degree of scarring in the system studied.pl
dc.contributor.authorZakrzewski, Jakub - 100023 pl
dc.contributor.authorDelande, Dominiquepl
dc.contributor.authorKuś, Marekpl
dc.date.accessioned2015-02-09T12:51:29Z
dc.date.available2015-02-09T12:51:29Z
dc.date.issued1993pl
dc.description.admin[AU] Zakrzewski, Jakub [SAP11010611]
dc.description.number3pl
dc.description.publication1pl
dc.description.volume47pl
dc.identifier.articleid1665pl
dc.identifier.doi10.1103/PhysRevE.47.1665pl
dc.identifier.eissn1095-3787pl
dc.identifier.eissn1538-4519pl
dc.identifier.issn1063-651Xpl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/2924
dc.languageengpl
dc.language.containerengpl
dc.rightsDodaję tylko opis bibliograficzny*
dc.rights.uri*
dc.subtypeArticlepl
dc.titleParametric motion of energy levels in quantum chaotic systems. II. Avoided-crossing distributionspl
dc.title.journalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topicspl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
Statistical properties of levels of quantum systems chaotic in the classical limit are studied using the distribution of avoided crossings, i.e., of the sizes of local minima of adjacent-level spacings. The results obtained previously for the two-level random-matrix theory are compared with the prediction of the statistical-mechanics description of the equivalent fictitious-particle system. The distributions derived are compared with numerical results obtained for several physical systems. The origin of the discrepancies (in former numerical calculations) of small-avoided-crossing behavior is found. The ratio of the average crossing to the average spacing is shown to have a nonuniversal behavior and seems to provide information on the degree of scarring in the system studied.
dc.contributor.authorpl
Zakrzewski, Jakub - 100023
dc.contributor.authorpl
Delande, Dominique
dc.contributor.authorpl
Kuś, Marek
dc.date.accessioned
2015-02-09T12:51:29Z
dc.date.available
2015-02-09T12:51:29Z
dc.date.issuedpl
1993
dc.description.admin
[AU] Zakrzewski, Jakub [SAP11010611]
dc.description.numberpl
3
dc.description.publicationpl
1
dc.description.volumepl
47
dc.identifier.articleidpl
1665
dc.identifier.doipl
10.1103/PhysRevE.47.1665
dc.identifier.eissnpl
1095-3787
dc.identifier.eissnpl
1538-4519
dc.identifier.issnpl
1063-651X
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/2924
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Dodaję tylko opis bibliograficzny
dc.rights.uri*
dc.subtypepl
Article
dc.titlepl
Parametric motion of energy levels in quantum chaotic systems. II. Avoided-crossing distributions
dc.title.journalpl
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
dc.typepl
JournalArticle
dspace.entity.type
Publication

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