LARGE-ORDER PERTURBATION EXPANSIONS FOR THE CHARGED HARMONIC-OSCILLATOR

dc.contributorNATL UNIV LA PLATA
dc.contributorUNIV VALENCIA ESTUDI GEN
dc.contributorUNIV VALENCIA
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T15:22:32Z
dc.date.accessioned2022-10-05T16:16:59Z
dc.date.available2014-05-20T15:22:32Z
dc.date.available2022-10-05T16:16:59Z
dc.date.created2014-05-20T15:22:32Z
dc.date.issued1992-12-07
dc.identifierJournal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 25, n. 23, p. 6379-6392, 1992.
dc.identifier0305-4470
dc.identifierhttp://hdl.handle.net/11449/33493
dc.identifier10.1088/0305-4470/25/23/031
dc.identifierWOS:A1992KD02700031
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/3905811
dc.description.abstractThe charged oscillator, defined by the Hamiltonian H = -d2/dr2+ r2 + lambda/r in the domain [0, infinity], is a particular case of the family of spiked oscillators, which does not behave as a supersingular Hamiltonian. This problem is analysed around the three regions lambda --> infinity, lambda --> 0 and lambda --> -infinity by using Rayleigh-Ritz large-order perturbative expansions. A path is found to connect the large lambda regions with the small lambda region by means of the renormalization of the series expansions in lambda. Finally, the Riccati-Pade method is used to construct an implicit expansion around lambda --> 0 which extends to very large values of Absolute value of lambda.
dc.languageeng
dc.publisherIop Publishing Ltd
dc.relationJournal of Physics A: Mathematical and General
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.titleLARGE-ORDER PERTURBATION EXPANSIONS FOR THE CHARGED HARMONIC-OSCILLATOR
dc.typeArtigo


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