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Approximate solution of Schrödinger equation in D dimensions for inverted generalized hyperbolic potential

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Abstract

The Nikiforov–Uvarov method is used to investigate the bound state solutions of Schrödinger equation with a generalized inverted hyperbolic potential in D-space. We obtain the energy spectrum and eigenfunction of this potential for arbitrary l-state in D dimensions. We show that the potential reduces to special cases such as Rosen–Morse, Poschl–Teller and Scarf potentials. The energy spectra and wave functions of these special cases are also discussed. The numerical results of these potentials are presented.

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Authors and Affiliations

  1. Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria

    OLADUNJOYE A AWOGA & AKPAN N IKOT

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  1. OLADUNJOYE A AWOGA
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  2. AKPAN N IKOT
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Correspondence to AKPAN N IKOT.

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AWOGA, O.A., IKOT, A.N. Approximate solution of Schrödinger equation in D dimensions for inverted generalized hyperbolic potential. Pramana - J Phys 79, 345–356 (2012). https://doi.org/10.1007/s12043-012-0328-z

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  • DOI: https://doi.org/10.1007/s12043-012-0328-z

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