Scattering for Nonlocal Potentials in One Dimension

Abstract

In this paper nonlocal potentials of Hulthen and Gauss forms are investigated. Emphasis is placed on the limits −∞ to +∞, in which case the integral equations are transformed into equivalent Schrödinger equations in k-space. Also, for the case of finite limits we give the physical and the Jost solutions by the moment method as well as using the Green’s function.