Why SWKB approximation is exact for all SIPs

Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Annals of Physics (New York)

OSTI ID:21336104

Cheng, Yin ^[1]; Qishun, Shen ^[1]

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1. Department of Physics, the State Key Laboratory on Fiber Optic Local Area Communication Networks and Advanced Optical Communication Systems, Shanghai Jiao Tong University, Shanghai 200240 (China)

Using analytical transfer matrix (ATM) theory, the phase contribution devoted by the scattered subwaves is found to be independent of n and integrable for all known shape invariant potentials (SIPs) with translation. We also successfully explain why SWKB quantization condition yields exact bound-state spectra for all SIPs.

• OSTI ID: 21336104
• Journal Information: Annals of Physics (New York), Vol. 325, Issue 3; Other Information: DOI: 10.1016/j.aop.2009.11.004; PII: S0003-4916(09)00222-X; Copyright (c) 2009 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
APPROXIMATIONS
BOUND STATE
EXACT SOLUTIONS
INTEGRAL CALCULUS
MATRICES
QUANTIZATION
QUANTUM MECHANICS
SUPERSYMMETRY