On the radius of convergence of Rayleigh-Schrodinger perturbative solutions for quantum oscillators in circular and spherical boxes

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dc.contributor.authorAguilera-Navarro, V. C.
dc.contributor.authorGomes, J. F.
dc.contributor.authorZimerman, A. H.
dc.contributor.authorLey Koo, K.
dc.contributor.institutionInst. de Fisica Teorica
dc.date.accessioned2022-04-29T08:42:48Z
dc.date.available2022-04-29T08:42:48Z
dc.date.issued1983-12-01
dc.description.abstractThe energy eigenvalues of harmonic oscillators in circular and spherical boxes are obtained through the Rayleigh-Schrodinger perturbative expansion, taking the free particle in a box as the non-perturbed system. The perturbative series is shown to be convergent for small boxes, and an upper bound for the radius of convergence is established. Pade-approximant solutions are also constructed for boxes of any size. Numerical comparison with the exact eigenvalues-which are obtained by constructing and diagonalising the Hamiltonian in the basis of the eigenfunctions of the free particle in a box-corroborates the accuracy and range of validity of the approximate solutions, particularly the convergence and the radius of convergence of the perturbative series.en
dc.description.affiliationInst. de Fisica Teorica, Sao Paulo
dc.format.extent2943-2952
dc.identifierhttp://dx.doi.org/10.1088/0305-4470/16/13/015
dc.identifier.citationJournal of Physics A: Mathematical and General, v. 16, n. 13, p. 2943-2952, 1983.
dc.identifier.doi10.1088/0305-4470/16/13/015
dc.identifier.issn0305-4470
dc.identifier.scopus2-s2.0-0039346507
dc.identifier.urihttp://hdl.handle.net/11449/230934
dc.language.isoeng
dc.relation.ispartofJournal of Physics A: Mathematical and General
dc.sourceScopus
dc.titleOn the radius of convergence of Rayleigh-Schrodinger perturbative solutions for quantum oscillators in circular and spherical boxesen
dc.typeArtigo

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