ON THE VALIDITY OF THE WKB APPROXIMATION

Autor(en): BURDICK, M
SCHMIDT, HJ
Stichwörter: Physics; Physics, Mathematical; Physics, Multidisciplinary
Erscheinungsdatum: 1994
Herausgeber: IOP PUBLISHING LTD
Journal: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volumen: 27
Ausgabe: 2
Startseite: 579
Seitenende: 592
Zusammenfassung: 
We consider the WKB approximation to the non-relativistic Schrodinger equation for an N-particle system with a possibly time-dependent potential. A recent rigorous and explicit error estimate given by Molzahn is investigated by means of examples. To this end we extend the class of potentials considered by Molzahn and find that his estimates are almost optimal. However, these examples also reveal an inherent drawback of the WKB method.
ISSN: 03054470
DOI: 10.1088/0305-4470/27/2/039

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