BOUND STATES OF THE KLEIN GORDON EQUATION FOR VECTOR AND SCALAR GENERAL HULTHEN-TYPE ´ POTENTIALS IN D-DIMENSION
Publication Type
Original research
Authors
SAMEER M. IKHDAIR
We solve the Klein–Gordon equation in any D-dimension for the scalar and vector general
Hulth´en-type potentials with any l by using an approximation scheme for the centrifugal
potential. Nikiforov–Uvarov method is used in the calculations. We obtain the boundstate
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 for D = 1 and 3
dimensions. Our results are valid for q = 1 value when l 6= 0 and for any q value when
l = 0 and D = 1 or 3. The s-wave (l = 0) binding energies for a particle of rest mass
m0 = 1 are calculated for the three lower-lying states (n = 0, 1, 2) using pure vector
and pure scalar potentials.