Polynomial solution of non-central potentials

DOI10.1007/s10773-007-9356-8zbMath1133.81017arXivquant-ph/0702186OpenAlexW2026289454MaRDI QIDQ2461733

Ramazan Sever, Sameer M. Ikhdair

Publication date: 21 November 2007

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0702186

zbMATH Keywords

Schrödinger equationUvarov methodEnergy eigenvalues and eigenfunctionsNikiforov methodNon-central potentials

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (13)

Analytical solutions of a generalized non-central potential in N-dimensions ⋮ Approximate \(l\)-states of the Manning-Rosen potential by using Nikiforov-Uvarov method ⋮ Analytical solutions of Schrödinger equation for the diatomic molecular potentials with any angular momentum ⋮ Approximate bound states of the Dirac equation with some physical quantum potentials ⋮ Bound states of the D-dimensional Schrödinger equation for the generalized Woods–Saxon potential ⋮ Non-central potentials, exact solutions and Laplace transform approach ⋮ Novel bound states treatment of the two dimensional Schrödinger equation with pseudocentral potentials plus multiparameter noncentral potential ⋮ On some polynomial potentials in d-dimensions ⋮ EXACT SOLUTIONS OF THE MODIFIED KRATZER POTENTIAL PLUS RING-SHAPED POTENTIAL IN THE D-DIMENSIONAL SCHRÖDINGER EQUATION BY THE NIKIFOROV–UVAROV METHOD ⋮ A general approach for the exact solution of the Schrödinger equation ⋮ A novel angle-dependent potential and its exact solution ⋮ EXACT BOUND STATES OF THE D-DIMENSIONAL KLEIN–GORDON EQUATION WITH EQUAL SCALAR AND VECTOR RING-SHAPED PSEUDOHARMONIC POTENTIAL ⋮ A particular solution of Heun equation for Hulthen and Woods‐Saxon potentials

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