Analytical approximations of scattering states to the l-wave solutions for the Schrodinger equation with the Eckart potential

作者:Chen Chang Yuan*; Sun Dong Sheng; Lu Fa Lin
来源:Journal of Physics A-Mathematical and Theoretical, 2008, 41(3): 035302.
DOI:10.1088/1751-8113/41/3/035302

摘要

The scattering state solutions of the Schrodinger equation for the Eckart potential with the centrifugal term are obtained approximately. It is shown that the solutions can be expressed in terms of the generalized hypergeometric functions (2)F(1) (a, b; c; z). The normalized radial wave functions of scattering states on the 'k/2 pi scale' and the calculation formula of phase shifts are also derived. Three special cases for l = 0, beta = 0 and r(0) -> infinity are also studied briefly.