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dc.contributor.CRUESPUniversidade Estadual de Campinaspt_BR
dc.typeArtigo de periódicopt_BR
dc.titleEigenfunctions of the Liouville operator, periodic orbits and the principle of uniformitypt_BR
dc.contributor.authordeCarvalho, TOpt_BR
dc.contributor.authordeAguiar, MAMpt_BR
dc.description.abstractWe investigate the eigenvalue problem for the dynamical variables' evolution equation in classical mechanics df/dt = Lf where L is the Liouville operator, the generator of the unitary one-parameter group U-t = e(-Lt). We show that the non-constant eigenfunctions are distributions on the energy shell and non-vanishing on its elementary retracing invariant submanifolds: rational tori for the integrable case or periodic orbits for the chaotic case. The formalism unveils an equivalent statement, concerning the definition of a measure on the Hilbert space of dynamical variables, for the principle of uniformity. Introducing this measure, which is delta concentrated on the periodic orbits, we are able to derive the classical sum rules obtained from the principle of uniformity from the way the periodic orbits proliferate for increasing periods.pt
dc.relation.ispartofJournal Of Physics A-mathematical And Generalpt_BR
dc.relation.ispartofabbreviationJ. Phys. A-Math. Gen.pt_BR
dc.publisher.cityBristolpt_BR
dc.publisher.countryInglaterrapt_BR
dc.publisherIop Publishing Ltdpt_BR
dc.date.issued1996pt_BR
dc.date.monthofcirculation39264pt_BR
dc.identifier.citationJournal Of Physics A-mathematical And General. Iop Publishing Ltd, v. 29, n. 13, n. 3597, n. 3615, 1996.pt_BR
dc.language.isoenpt_BR
dc.description.volume29pt_BR
dc.description.issuenumber13pt_BR
dc.description.firstpage3597pt_BR
dc.description.lastpage3615pt_BR
dc.rightsfechadopt_BR
dc.rights.licensehttp://iopscience.iop.org/page/copyrightpt_BR
dc.sourceWeb of Sciencept_BR
dc.identifier.issn0305-4470pt_BR
dc.identifier.wosidWOS:A1996UX09000026pt_BR
dc.date.available2014-12-16T11:34:10Z
dc.date.available2015-11-26T17:58:08Z-
dc.date.accessioned2014-12-16T11:34:10Z
dc.date.accessioned2015-11-26T17:58:08Z-
dc.description.provenanceMade available in DSpace on 2014-12-16T11:34:10Z (GMT). No. of bitstreams: 1 WOSA1996UX09000026.pdf: 181267 bytes, checksum: c4dff8ff6d1c1dbc5cc7f01b920a9aff (MD5) Previous issue date: 1996en
dc.description.provenanceMade available in DSpace on 2015-11-26T17:58:08Z (GMT). No. of bitstreams: 2 WOSA1996UX09000026.pdf: 181267 bytes, checksum: c4dff8ff6d1c1dbc5cc7f01b920a9aff (MD5) WOSA1996UX09000026.pdf.txt: 50931 bytes, checksum: f6949b2d551fcf8e6c66014adbdb00d8 (MD5) Previous issue date: 1996en
dc.identifier.urihttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/65389pt_BR
dc.identifier.urihttp://www.repositorio.unicamp.br/handle/REPOSIP/65389
dc.identifier.urihttp://repositorio.unicamp.br/jspui/handle/REPOSIP/65389-
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