Approximated l-states of the Manning-Rosen potential by Nikiforov-Uvarov method

The approximately analytical bound state solutions of the l-wave Schr\"odinger equation for the Manning-Rosen (MR) potential are carried out by a proper approximation to the centrifugal term. The energy spectrum formula and normalized wave functions expressed in terms of the Jacobi polynomials are both obtained for the application of the Nikiforov-Uvarov (NU) method to the Manning-Rosen potential. To show the accuracy of our results, we calculate the eigenvalues numerically for arbitrary quantum numbers n and l with two different values of the potential parameter {\alpha}. It is found that our results are in good agreement with the those obtained by other methods for short potential range, small l and {\alpha}. Two special cases are investigated like the s-wave case and Hulth\'en potential case.Comment: 21 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:0909.062

Exact Klein-Gordon equation with spatially-dependent masses for unequal scalar-vector Coulomb-like potentials

We study the effect of spatially dependent mass functions over the solution of the Klein-Gordon equation in the (3+1)-dimensions for spinless bosonic particles where the mixed scalar-vector Coulomb-like field potentials and masses are directly proportional and inversely proportional to the distance from force center. The exact bound state energy eigenvalues and the corresponding wave functions of the Klein-Gordon equation for mixed scalar-vector and pure scalar Coulomb-like field potentials are obtained by means of the Nikiforov-Uvarov (NU) method. The energy spectrum is discussed for different scalar-vector potential mixing cases and also for constant mass case.Comment: 17 pages; to be published in European Journal of Physics A (2009