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Advances in Mathematical Physics
Volume 2013 (2013), Article ID 239254, 8 pages
http://dx.doi.org/10.1155/2013/239254
Research Article

Application of the Asymptotic Taylor Expansion Method to Bistable Potentials

Department of Engineering Physics, Faculty of Engineering, University of Gaziantep, 27310 Gaziantep, Turkey

Received 15 April 2013; Accepted 15 July 2013

Academic Editor: Fedele Lizzi

Copyright © 2013 Okan Ozer et al. 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.

Abstract

A recent method called asymptotic Taylor expansion (ATEM) is applied to determine the analytical expression for eigenfunctions and numerical results for eigenvalues of the Schrödinger equation for the bistable potentials. Optimal truncation of the Taylor series gives a best possible analytical expression for eigenfunctions and numerical results for eigenvalues. It is shown that the results are obtained by a simple algorithm constructed for a computer system using symbolic or numerical calculation. It is observed that ATEM produces excellent results consistent with the existing literature.