Solutions of Schr\"odinger Equation with Generalized Inverted Hyperbolic Potential

We present the bound state solutions of the Schr\"odinger equation with generalized inverted hyperbolic potential using the Nikiforov-Uvarov method. We obtain the energy spectrum and the wave function with this potential for arbitrary - state. We show that the results of this potential reduced to the standard known potentials - Rosen-Morse, Poschl - Teller and Scarf potential as special cases. We also discussed the energy equation and the wave function for these special cases.Comment: 20pages, 5figure

Pseudospin Symmetry of the Position-Dependent Mass Dirac Equation for the Hulthén Potential and Yukawa Tensor Interaction

This paper presents approximate analytical solutions of the Dirac equation for the Hulthén potential with position-dependent mass within the framework of pseudospin symmetry limit using the Nikiforov-Uvarov method. The results showed the relativistic energy spectrum and the corresponding un-normalized wave function expressed in terms of the Jacobi polynomials.Received: 30 September 2014; Revised: 29 December 2014: 31 December 201