BOUND STATES OF THE KLEIN–GORDON EQUATION FOR VECTOR AND SCALAR GENERAL HULTHÉN-TYPE POTENTIALS IND-DIMENSION

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

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 01, 25-45

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.

Keywords: Bound states; Klein–Gordon equation; Hulthén potential; Nikiforov–Uvarov method; approximation schemes; 03.65.-w; 03.65.Fd; 03.65.Ge (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109013431

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