Approximate analytical solution of the Yukawa potential with arbitrary angular momenta
arXiv:1210.5886 · doi:10.1088/0256-307X/29/8/080302
Abstract
The Yukawa potential is often used to compute bound-state normalizations and energy levels of neutral atoms. By using the generalized parametric Nikiforov-Uvarov (NU) method, we have obtained the approximate analytical solutions of the radial Schrödinger equation (SE) for the Yukawa potential. The energy eigenvalues and corresponding eigenfunctions are calculated in closed forms. Some numerical results are presented and showed that these results are in good agreement with those are obtained previously by other methods. Also, we found the energy levels of the familiar pure Coulomb potential energy levels when the screening parameter of the Yukawa potential goes to zero.
11pages, 1 figure
References in corpus (6)
- An Alternative Treatment for Yukawa-Type Potentials
- Exact solutions of the radial Schrodinger equation for some physical potentials
- Approximate k-state solutions to the Dirac-Yukawa problem based on the spin and pseudospin symmetry
- Exact S-Wave Solution of the Trigonometric Poschl-Teller Potential
- Highly Accurate Analytic Presentation of Solution of the Schrödinger Equation
- A semirelativistic treatment of spinless particles subject to the Yukawa potential with arbitrary angular momenta