Explicit summation of the constituent WKB series and new approximate wave functions

The independent solutions of the one-dimensional Schrödinger equation are approximated by means of the explicit summation of the leading constituent WKB series. The continuous matching of the particular solutions gives the uniformly valid analytical approximation to the wave functions. A detailed nu...

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Bibliographic Details
Main Authors: Vladimir V. Kudryashov, Yulian V. Vanne
Format: Article
Language:English
Published: Hindawi Limited 2002-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/S1110757X02112046