Convergent iterative solutions of Schroedinger equation for a generalized double well potential

Journal Article · Tue Jul 15 00:00:00 EDT 2008 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2007.09.006· OSTI ID:21163715

Friedberg, R ^[1]; Lee, T D ^[1]; Zhao, W Q ^[2]

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1. Physics Department, Columbia University, New York, NY 10027 (United States)
2. China Center of Advanced Science and Technology (CCAST) (World Lab.), P.O. Box 8730, Beijing 100080 (China)

We present an explicit convergent iterative solution for the lowest energy state of the Schroedinger equation with a generalized double well potential V=(g{sup 2})/2 (x{sup 2}-1){sup 2}(x{sup 2}+a). The condition for the convergence of the iteration procedure and the dependence of the shape of the groundstate wave function on the parameter a are discussed.

• OSTI ID: 21163715
• Journal Information: Annals of Physics (New York), Vol. 323, Issue 7; Other Information: DOI: 10.1016/j.aop.2007.09.006; PII: S0003-4916(07)00148-0; Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONVERGENCE
ITERATIVE METHODS
MATHEMATICAL SOLUTIONS
POTENTIALS
SCHROEDINGER EQUATION
WAVE FUNCTIONS