Analytical solution of N-dimensional Klein-Gordon and Dirac equations with Rosen-Morse potential

摘要

The solutions of the N-dimensional Klein-Gordon and Dirac wave equations with equal scalar and vector Rosen-Morse potentials are studied. The energy equations and the radial wave functions are derived using the Nikiforov-Uvarov method. The low-dimensional (N = 3 s-wave limits and the variation of the bound-state energies with the dimension and the angular momentum are discussed.