Variational method for excited states from supersymmetric techniques

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dc.contributor.authorBorges, G. R P [UNESP]
dc.contributor.authorDutra, Alvaro de Souza [UNESP]
dc.contributor.authorDrigo Filho, Elso [UNESP]
dc.contributor.authorRuggiero, José Roberto [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:20:55Z
dc.date.available2014-05-27T11:20:55Z
dc.date.issued2003-11-01
dc.description.abstractWe suggest a method for constructing trial eigenfunctions for excited states to be used in the variational method. This method is a generalization of the one that uses a superpotential to obtain the trial functions for the ground state. The construction of an effective hierarchy of Hamiltonians is used to determine excited variational energies. The first four eigenvalues for a quartic double-well potential are calculated for several values of the potential parameter. The results are in very good agreement with the eigenvalues obtained by numerical integration.en
dc.description.affiliationInst. de Biocîncias Letras e Ciências Exatas IBILCE-UNESP, R. Cristovao Colombo, 2265, 15054-000 Sao Jose do Rio Petro - SP
dc.description.affiliationUNESP Campus de Guaratingueta DFQ, Av. Dr. Ariberto P. Cunha 333 CP 205, 12500-000 Guaratingueta-SP
dc.description.affiliationUnespInst. de Biocîncias Letras e Ciências Exatas IBILCE-UNESP, R. Cristovao Colombo, 2265, 15054-000 Sao Jose do Rio Petro - SP
dc.description.affiliationUnespUNESP Campus de Guaratingueta DFQ, Av. Dr. Ariberto P. Cunha 333 CP 205, 12500-000 Guaratingueta-SP
dc.format.extent1283-1291
dc.identifierhttp://dx.doi.org/10.1139/p03-096
dc.identifier.citationCanadian Journal of Physics, v. 81, n. 11, p. 1283-1291, 2003.
dc.identifier.doi10.1139/p03-096
dc.identifier.issn0008-4204
dc.identifier.lattes6314084638411003
dc.identifier.scopus2-s2.0-1142279593
dc.identifier.urihttp://hdl.handle.net/11449/67458
dc.identifier.wosWOS:000187035100006
dc.language.isoeng
dc.relation.ispartofCanadian Journal of Physics
dc.relation.ispartofjcr0.983
dc.relation.ispartofsjr0,300
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectAlgebra
dc.subjectEigenvalues and eigenfunctions
dc.subjectExcitons
dc.subjectGround state
dc.subjectHamiltonians
dc.subjectPerturbation techniques
dc.subjectRiccati equations
dc.subjectSupersymmetric formalism
dc.subjectVariational method
dc.subjectQuantum theory
dc.titleVariational method for excited states from supersymmetric techniquesen
dc.typeArtigo
dcterms.licensehttp://www.nrcresearchpress.com/page/authors/information/rights
unesp.author.lattes6314084638411003[2]
unesp.author.orcid0000-0003-3027-1066[2]
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Engenharia, Guaratinguetápt

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Artigos - Física e Química - FEG