Entropy, information and doubly stochastic transformations

dc.contributor.authorDaboul, Jamil [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:17:26Z
dc.date.available2014-05-27T11:17:26Z
dc.date.issued1991-10-14
dc.description.abstractI analyze two inequalities on entropy and information, one due to von Neumann and a recent one to Schiffer, and show that the relevant quantities in these inequalities are related by special doubly stochastic matrices (DSM). I then use generalization of the first inequality to prove algebraically a generalization of Schiffer's inequality to arbitrary DSM. I also give a second interpretation to the latter inequality, determine its domain of applicability, and illustrate it by using Zeeman splitting. This example shows that symmetric (degenerate) systems have less entropy than the corresponding split systems, if compared at the same average energy. This seemingly counter-intuitive result is explained thermodynamically. © 1991.en
dc.description.affiliationInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405 São Paulo S.P.
dc.description.affiliationUnespInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405 São Paulo S.P.
dc.format.extent213-220
dc.identifierhttp://dx.doi.org/10.1016/0375-9601(91)90515-A
dc.identifier.citationPhysics Letters A, v. 159, n. 4-5, p. 213-220, 1991.
dc.identifier.doi10.1016/0375-9601(91)90515-A
dc.identifier.issn0375-9601
dc.identifier.scopus2-s2.0-44949278786
dc.identifier.urihttp://hdl.handle.net/11449/64144
dc.identifier.wosWOS:A1991GM33700005
dc.language.isoeng
dc.relation.ispartofPhysics Letters A
dc.relation.ispartofjcr1.863
dc.relation.ispartofsjr0,595
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.titleEntropy, information and doubly stochastic transformationsen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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