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Asymptotic analysis of solutions of a radial Schrödinger equation with oscillating potential
Author(s) -
Bodine Sigrun,
Lutz D. A.
Publication year - 2006
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200510443
Subject(s) - mathematics , lemma (botany) , asymptotic analysis , differential equation , type (biology) , schrödinger equation , mathematical analysis , representation (politics) , mathematical physics , law , ecology , poaceae , politics , political science , biology
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)