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Asymptotic analysis of solutions of a radial Schrödinger equation with oscillating potential

✍ Scribed by Sigrun Bodine; D. A. Lutz

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
299 KB
Volume
279
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We are interested in the asymptotic behavior of solutions of a Schrödinger‐type equation with oscillating potential which was studied by A. Its. Here we use a different technique, based on Levinson's Fundamental Lemma, to analyze the asymptotic behavior, and our approach leads to a complete asymptotic representation of the solutions. We also discuss formal simplifications for differential equations with what might be called “regular/irregular singular points with periodic coefficients”. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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