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Please use this identifier to cite or link to this item: https://elib.bsu.by/handle/123456789/34122
Title: On Schrödinger Equation with Potential and the Bi-Confluent Heun Functions Theory
Authors: Ovsiyuk, E.
Veko, O.
Amirfachrian, M.
Keywords: ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Физика
ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Математика
Issue Date: 2012
Publisher: Адукацыя и выхаванне
Citation: Nonlinear Phenomena in Complex Systems. - 2012. - Vol.15, no.2. - P. 163-170.
Abstract: It is shown that the Schrödinger equation with a potential in the form of a combination of three potentials Coulomb, linear and harmonic, the potential often used to describe quarkonium, is reduced to a bi-confluent Heun differential equation. The method to construct its solutions in the form of polynomials is developed, however with additional constraints in four parameters of the model, .The energy spectrum looks as a modified combination of oscillator and Coulomb parts.
URI: http://elib.bsu.by/handle/123456789/34122
ISSN: 1561-4085
Licence: info:eu-repo/semantics/restrictedAccess
Appears in Collections:2012. Volume 15. Number 2

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