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

Bodine Sigrun | Zendy; Lutz D. A. | Zendy

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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)

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