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Bound States Of The Klein–Gordon Equation For Vector And Scalar General Hulthén-Type Potentials Ind-Dimension

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  • SAMEER M. IKHDAIR

    (Department of Physics, Near East University, Nicosia, North Cyprus, Turkey)

Abstract

We solve the Klein–Gordon equation in anyD-dimension for the scalar and vector general Hulthén-type potentials with anylby using an approximation scheme for the centrifugal potential. Nikiforov–Uvarov method is used in the calculations. We obtain the bound-state energy eigenvalues and the corresponding eigenfunctions of spin-zero particles in terms of Jacobi polynomials. The eigenfunctions are physical and the energy eigenvalues are in good agreement with those results obtained by other methods forD = 1and 3 dimensions. Our results are valid forq = 1value whenl ≠ 0and for anyqvalue whenl = 0andD = 1or 3. Thes-wave(l = 0)binding energies for a particle of rest massm0= 1are calculated for the three lower-lying states(n = 0, 1, 2)using pure vector and pure scalar potentials.

Suggested Citation

  • Sameer M. Ikhdair, 2009. "Bound States Of The Klein–Gordon Equation For Vector And Scalar General Hulthén-Type Potentials Ind-Dimension," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(01), pages 25-45.
    • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:01:n:s0129183109013431
    DOI: 10.1142/S0129183109013431
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