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

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorInst. de Fisica Teorica-
Autor(es): dc.creatorAguilera-Navarro, V. C.-
Autor(es): dc.creatorGomes, J. F.-
Autor(es): dc.creatorZimerman, A. H.-
Autor(es): dc.creatorLey Koo, K.-
Data de aceite: dc.date.accessioned2025-08-21T20:34:01Z-
Data de disponibilização: dc.date.available2025-08-21T20:34:01Z-
Data de envio: dc.date.issued2022-04-29-
Data de envio: dc.date.issued2022-04-29-
Data de envio: dc.date.issued1983-12-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1088/0305-4470/16/13/015-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/230934-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/230934-
Descrição: dc.descriptionThe 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.-
Descrição: dc.descriptionInst. de Fisica Teorica, Sao Paulo-
Formato: dc.format2943-2952-
Idioma: dc.languageen-
Relação: dc.relationJournal of Physics A: Mathematical and General-
???dc.source???: dc.sourceScopus-
Título: dc.titleOn the radius of convergence of Rayleigh-Schrodinger perturbative solutions for quantum oscillators in circular and spherical boxes-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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