Nonlinear Phenomena in Complex Systems, 2006, Vol.9, No.4, pp.403-409

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2006, Vol.9, No.4, pp.403-409

New approximate radial wave functions for power-law potentials.
Vladimir Kudryashov

Radial wave functions for power-law potentials are approximated with the help of power-law substitution and explicit summation of the leading constituent WKB series. Our approach reproduces the correct behaviour of the wave functions at the origin, at the turning points and far away from the turning points.
Key words: the radial Schrödinger equation, the power-law potentials, the WKB series, approximate radial wave functions

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