Nonlinear Phenomena in Complex Systems, 2018, Vol.21, No.4, pp.384

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2018, Vol.21, No.4, pp.384 - 388

Quasi-Harmonic Approximation in the Case of Potential Wells of Finite Depth
A. V. Baran and V. V. Kudryashov

The recently proposed quasi-harmonic approximation to wave functions of bound states is generalized and applied to the potential wells of a finite depth with two inflection points. The approximate eigenfunctions are expressed via parabolic cylinder functions. The realized verification in the case of the modified P¨oschl-Teller potential shows fairly high accuracy of the proposed approximation.

Key words: potential wells of a finite depth, approximate wave functions, modified P¨oschl-Teller potential

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