Energy spectrum and eigenfunctions through the Quantum Section Method

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dc.contributor.authorEspinoza Ortiz, J.S. [UNESP]
dc.contributor.authorEgydio de Carvalho, R. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2013-09-30T20:01:14Z
dc.date.accessioned2014-05-20T14:16:09Z
dc.date.available2013-09-30T20:01:14Z
dc.date.available2014-05-20T14:16:09Z
dc.date.issued2001-12-01
dc.description.abstractWe present the Quantum Section Method as a quantization technique to compute the eigenvalues and the eigenfunctions of quantum systems. As an instructive example we apply this procedure to quantize the annular billiard. The method uses the symmetry of the system to determine an auxiliary section separating the system into partial regions and computes the Green's functions for Schroedinger's equation, obeying the same boundary conditions imposed on the eigenfunctions of the system. The eigenvalues are obtained as zeroes of a finite real determinant and the eigenfunctions are also determined. The present analytical and numerical results are in total agreement with those obtained by other procedures, which shows the efficiency of the method.en
dc.description.affiliationUniversidade Estadual Paulista Instituto de Geociências e Ciências Exatas
dc.description.affiliationUnespUniversidade Estadual Paulista Instituto de Geociências e Ciências Exatas
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipFundação para o Desenvolvimento da UNESP (FUNDUNESP)
dc.format.extent538-545
dc.identifierhttp://dx.doi.org/10.1590/S0103-97332001000400003
dc.identifier.citationBrazilian Journal of Physics. Sociedade Brasileira de Física, v. 31, n. 4, p. 538-545, 2001.
dc.identifier.doi10.1590/S0103-97332001000400003
dc.identifier.fileS0103-97332001000400003.pdf
dc.identifier.issn0103-9733
dc.identifier.scieloS0103-97332001000400003
dc.identifier.urihttp://hdl.handle.net/11449/24859
dc.language.isoeng
dc.publisherSociedade Brasileira de Física
dc.relation.ispartofBrazilian Journal of Physics
dc.relation.ispartofjcr1.082
dc.relation.ispartofsjr0,276
dc.rights.accessRightsAcesso aberto
dc.sourceSciELO
dc.titleEnergy spectrum and eigenfunctions through the Quantum Section Methoden
dc.typeArtigo

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