Please use this identifier to cite or link to this item:
Full metadata record
DC FieldValueLanguage
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
dc.relation.ispartofJournal Of Physics A-mathematical And Generalpt_BR
dc.relation.ispartofabbreviationJ. Phys. A-Math. Gen.pt_BR
dc.publisherIop Publishing Ltdpt_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.sourceWeb of Sciencept_BR
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
Appears in Collections:Unicamp - Artigos e Outros Documentos

Files in This Item:
File Description SizeFormat 
WOSA1996UX09000026.pdf177.02 kBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.