Auxiliary field method and analytical solutions of the Schrödinger equation with exponential potentials

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dc.creatorSilvestre-Brac, Bernard
dc.creatorSemay, Claude
dc.creatorBuisseret, Fabien
dc.date2008-11-03
dc.date.accessioned2026-07-07T13:18:03Z
dc.date.available2026-07-07T13:18:03Z
dc.descriptionThe auxiliary field method is a new and efficient way to compute approximate analytical eigenenergies and eigenvectors of the Schrödinger equation. This method has already been successfully applied to the case of central potentials of power-law and logarithmic forms. In the present work, we show that the Schrödinger equation with exponential potentials of the form $-αr^λ\exp(-βr)$ can also be analytically solved by using the auxiliary field method. Formulae giving the critical heights and the energy levels of these potentials are presented. Special attention is drawn on the Yukawa potential and the pure exponential one.
dc.identifierhttps://arxiv.org/abs/0811.0287
dc.identifierhttp://arxiv.org/abs/0811.0287
dc.identifierJ. Phys. A: Math. Theor. 42 (2009) 245301
dc.identifierdoi:10.1088/1751-8113/42/24/245301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231310
dc.subjectQuantum Physics
dc.titleAuxiliary field method and analytical solutions of the Schrödinger equation with exponential potentials
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