A statistical law for multiplicities of SU(3) irreps (lambda, mu) in the plethysm {eta} circle times(3) {m} -> (lambda, mu)

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dc.contributor.authorKota, V. K. B.
dc.contributor.authorMayya, K. B. K.
dc.contributor.authorAlcaras, J. A. Castilho [UNESP]
dc.contributor.institutionPhys Res Lab
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2013-09-30T18:53:23Z
dc.date.accessioned2014-05-20T14:09:23Z
dc.date.available2013-09-30T18:53:23Z
dc.date.available2014-05-20T14:09:23Z
dc.date.issued2009-04-10
dc.description.abstractA statistical law for the multiplicities of the SU(3) irreps (lambda, mu) in the reduction of totally symmetric irreducible representations {m} of U(N), N = (eta + 1) (eta + 2)/2 with eta being the three-dimensional oscillator major shell quantum number, is derived in terms of the quadratic and cubic invariants of SU(3), by determining the first three terms of an asymptotic expansion for the multiplicities. To this end, the bivariate Edgeworth expansion known in statistics is used. Simple formulae, in terms of m and eta, for all the parameters in the expansion are derived. Numerical tests with large m and eta = 4, 5 and 6 show good agreement with the statistical formula for the SU(3) multiplicities.en
dc.description.affiliationPhys Res Lab, Ahmadabad 380009, Gujarat, India
dc.description.affiliationUniv Estadual Paulista, Univ Estadual Paulista, Inst Fis Teor, BR-04105900 São Paulo, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Univ Estadual Paulista, Inst Fis Teor, BR-04105900 São Paulo, Brazil
dc.format.extent20
dc.identifierhttp://dx.doi.org/10.1088/1751-8113/42/14/145201
dc.identifier.citationJournal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 42, n. 14, p. 20, 2009.
dc.identifier.doi10.1088/1751-8113/42/14/145201
dc.identifier.issn1751-8113
dc.identifier.urihttp://hdl.handle.net/11449/24153
dc.identifier.wosWOS:000264292300004
dc.language.isoeng
dc.publisherIop Publishing Ltd
dc.relation.ispartofJournal of Physics A: Mathematical and Theoretical
dc.relation.ispartofjcr1.963
dc.relation.ispartofsjr0,843
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleA statistical law for multiplicities of SU(3) irreps (lambda, mu) in the plethysm {eta} circle times(3) {m} -> (lambda, mu)en
dc.typeArtigo
dcterms.licensehttp://iopscience.iop.org/info/page/openaccess
dcterms.rightsHolderIop Publishing Ltd
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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