Nonlinear Phenomena in Complex Systems, 2005, Vol.8, No.1, pp.79-83

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2005, Vol.8, No.1, pp.79-83

Improved Semiclassical Description of Quark-Antiquark Bound States.
V.V. Kudryashov

Radial wave functions for the Cornell (Coulomb plus linear) potential describing quark-antiquark interaction are approximated with the help of power-law substitution and explicit summation of the leading constituent WKB series. In contrast to the conventional WKB method, our approach reproduces the correct behaviour of the wave functions at turning points and at the origin.
Key words: radial Schrödinger equation, Cornell potential, WKB series, approximate radial wave functions

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