Z. Naturforsch. 68a, 454 – 460
Approximate Analytical Solutions of the Perturbed Yukawa Potential with Centrifugal Barrier
Physics Department, Shahrood University of Technology, Shahrood, Iran
Received October 31, 2012 / revised February 8, 2013 / published online May 1, 2013
By using the generalized parametric Nikiforov–Uvarov (NU) method, we have obtained the approximate analytical solutions of the radial Schrödinger equation for a perturbed Yukawa potential. The energy eigenvalues and corresponding eigenfunctions are calculated in closed forms. Some numerical results are presented and compared with the standard Yukawa potential. Further, we found the energy levels of the familiar Mie-type potential when the screening parameter of the perturbed Yukawa potential goes to zero, and finally, standard Yukawa and Coulomb potentials are discussed.
Key words: Schrödinger Equation; Perturbed Yukawa Potential; Mie-Type Potential; Nikiforov–Uvarov Method.
PACS numbers: 03.65.-w; 04.20.Jb; 03.65.Fd; 02.30.Gp; 03.65.Ge