Approximate Bound State Solution of Relativistic Klein-Gordon Particles with Physical Potentials

ABSTRACT

This dissertation presents an Approximate Bound State Solution of Relativistic Klein-Gordon Particles with Physical Potentials. We have solved the approximate bound state solution of the Klein-Gordon equation for unequal scalar and vector Hulthen potentials and Modified Hellmann plus Hylleraas potential for arbitrary l – state. We have used the parametric generalization of the Nikiforov-Uvarov method to obtain the bound state energy eigenvalues and the corresponding wave function expressed in term of the Jacobi Polynomials. The energy eigenvalue for these two potentials were computed using different screening parameter and the numerical variation of these potentials with the radial distance between the interacting particles are shown in Table 3 and 4. The approximation scheme used in this work were compared with the centrifugal term and observed that the approximation is preferred for small screening parameters, showing that these potential are short range.