Abstract

This paper gives a discussion of WKB-type approximations to the solutions of the radial wave equation for a Schrödinger particle in a Coulomb field. Approximations based on Airy integrals, (L + 1 2 )- order Bessel functions, and (2 L + 1)-order Bessel functions are considered. The results indicate that important factors in the choice of the basic function for the approximation are the poles in the effective potential.

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