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Rotational And Vibrational Diatomic Molecule In The Klein–Gordon Equation With Hyperbolic Scalar And Vector Potentials

Author

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  • SAMEER M. IKHDAIR

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

Abstract

We present an approximate analytic solution of the Klein–Gordon equation in the presence of equal scalar and vector generalized deformed hyperbolic potential functions by means of parametric generalization of the Nikiforov–Uvarov method. We obtain the approximate bound-state rotational–vibrational (ro–vibrational) energy levels and the corresponding normalized wave functions expressed in terms of the Jacobi polynomial$P_n^{(\mu, \nu)} (x)$, whereμ > -1,ν > -1, andx ∈ [-1, +1]for a spin-zero particle in a closed form. Special cases are studied including the nonrelativistic solutions obtained by appropriate choice of parameters and also thes-wave solutions.

Suggested Citation

  • Sameer M. Ikhdair, 2009. "Rotational And Vibrational Diatomic Molecule In The Klein–Gordon Equation With Hyperbolic Scalar And Vector Potentials," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(10), pages 1563-1582.
    • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:10:n:s0129183109014606
    DOI: 10.1142/S0129183109014606
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