On the Coulomb and Hulthen Potentials

Abstract

This paper contains the results of two investigations. (i) The Hulthen potential is considered as a modification of the Coulomb potential. The transition from the former to the latter is investigated. (ii) The zeros of the Fredholm determinant for the Hulthen potential are calculated from the first two terms of its power-series expansion. These approximate results are compared with the exact values.