Scattering states and bound states of exponential potentials

Abstract

We explore the relationships between scattering states and bound states of different non-analytic segments (depending on $|x|$) of the exponential potential, and elucidate the status of the special scattering states found in an earlier publication by Ahmed et al. A similar analysis can be made of non-analytic segments of power potentials such as $x^3$.

7 pages, 8 figures