Coulomb Wave Functions

Abstract

Attention will be restricted throughout the article to non-relativistic energies, so that the Schrödinger equation describing the motion of a particle of charge Z’ e, mass M and energy E in a Coulomb potential Z e/r is

$$\left[ { - \frac{{{\hbar ^2}}}{{2M}}\Delta + \left( {\frac{{ZZ'{e^2}}}{r} - E} \right)} \right]\psi = 0$$

((1.1))