Journal of Applied Mathematics

Journal of Applied Mathematics / 2002 / Article

Open Access

Volume 2 |Article ID 683610 | https://doi.org/10.1155/S1110757X02112046

Vladimir V. Kudryashov, Yulian V. Vanne, "Explicit summation of the constituent WKB series and new approximate wave functions", Journal of Applied Mathematics, vol. 2, Article ID 683610, 11 pages, 2002. https://doi.org/10.1155/S1110757X02112046

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

Received06 Dec 2001
Revised11 Apr 2002

Abstract

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 numerical verification of the proposed approximation is performed for some exactly solvable problems arising from different kinds of potentials.

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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