A new approach to the logarithmic perturbation theory for the spherical anharmonic oscillator

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dc.creatorDobrovolska, I. V.
dc.creatorTutik, R. S.
dc.date2004-07-22
dc.date.accessioned2026-07-07T06:10:24Z
dc.date.available2026-07-07T06:10:24Z
dc.descriptionThe explicit semiclassical treatment of the logarithmic perturbation theory for the bound-state problem for the spherical anharmonic oscillator is developed. Based upon the $\hbar$-expansions and suitable quantization conditions a new procedure for deriving perturbation expansions is offered. Avoiding disadvantages of the standard approach, new handy recursion formulae with the same simple form both for ground and excited states have been obtained. As an example, the perturbation expansions for the energy eigenvalues of the quartic anharmonic oscillator are considered.
dc.descriptionSubmitted to Journal of Physics A: Math. and Gen
dc.identifierhttps://arxiv.org/abs/quant-ph/0407182
dc.identifierhttp://arxiv.org/abs/quant-ph/0407182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92248
dc.subjectQuantum Physics
dc.titleA new approach to the logarithmic perturbation theory for the spherical anharmonic oscillator
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