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Exact solutions of the radial Schrödinger equation for some physical potentials

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Central European Journal of Physics

Abstract

By using an ansatz for the eigenfunction, we have obtained the exact analytical solutions of the radial Schrödinger equation for the pseudoharmonic and the Kratzer potentials in two dimensions. The bound-state solutions are easily calculated from this eigenfunction ansatz. The corresponding normalized wavefunctions are also obtained.

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Authors and Affiliations

  1. Department of Physics, Near East University, Nicosia, North Cyprus, Mersin-10, Turkey

    Sameer M. Ikhdair

  2. Department of Physics, Middle East Technical University, 06531, Ankara, Turkey

    Ramazan Sever

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  1. Sameer M. Ikhdair
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  2. Ramazan Sever
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Correspondence to Sameer M. Ikhdair.

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Ikhdair, S.M., Sever, R. Exact solutions of the radial Schrödinger equation for some physical potentials. centr.eur.j.phys. 5, 516–527 (2007). https://doi.org/10.2478/s11534-007-0022-9

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  • DOI: https://doi.org/10.2478/s11534-007-0022-9

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