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ANALYTICAL SOLUTIONS OF THE KLEIN–FOCK–GORDON EQUATION WITH THE MANNING–ROSEN POTENTIAL PLUS A RING-SHAPED LIKE POTENTIAL

A. I. AHMADOV

Theory Division, Physics Department, CERN, CH-1211 Geneva 23, Switzerland

Institute for Physical Problems, Baku State University, Z. Khalilov St. 23, AZ-1148, Baku, Azerbaijan

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C. AYDIN

Department of Physics, Karadeniz Technical University, 61080, Trabzon, Turkey

Department of Physics, University of Surrey, Guildford Surrey GU2 7XH, UK

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, and

O. UZUN

Department of Physics, Karadeniz Technical University, 61080, Trabzon, Turkey

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https://doi.org/10.1142/S0217751X1450002XCited by:28 (Source: Crossref)

Abstract

In this work, on the condition that scalar potential is equal to vector potential, the bound state solutions of the Klein–Fock–Gordon equation of the Manning–Rosen plus ring-shaped like potential are obtained by Nikiforov–Uvarov method. The energy levels are worked out and the corresponding normalized eigenfunctions are obtained in terms of orthogonal polynomials for arbitrary l states. The conclusion also contain central Manning–Rosen, central and noncentral Hulthén potential.

Keywords:

PACS: 03.65.Ge

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