Nonlinear Phenomena in Complex Systems, 2004, Vol.7, No.1, pp.92-96

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2004, Vol.7, No.1, pp.92-96

Explicit Summation of the Constituent WKB Series and the Kepler Problem
V.V. Kudryashov

The radial wave functions for the Coulomb potential are approximated by means of the explicit summation of the leading constituent WKB series. In contrast to the conventional WKB method, our approach reproduces the correct behaviour of wave functions at the turning points and at the origin.
Key words: the radial Schrödinger equation, the Coulomb potential, the WKB series, approximate radial wave functions

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