ROTATIONAL AND VIBRATIONAL DIATOMIC MOLECULE IN THE KLEIN–GORDON EQUATION WITH HYPERBOLIC SCALAR AND VECTOR POTENTIALS

Sameer M. Ikhdair ()
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Sameer M. Ikhdair: Department of Physics, Near East University, Nicosia, Cyprus, Turkey

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 10, 1563-1582

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.

Keywords: Bound states; Klein–Gordon equation; hyperbolic potential functions; deformation theory; Nikiforov–Uvarov method; 03.65.-w; 03.65.Fd; 03.65.Ge (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109014606

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