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

被引：2

作者：

Bodine, Sigrun ^{[1
]}

Lutz, D. A.

机构：

[1] Univ Puget Sound, Dept Math & Comp Sci, Tacoma, WA 98416 USA

[2] San Diego State Univ, Dept Math & Comp Sci, San Diego, CA 92182 USA

来源：

MATHEMATISCHE NACHRICHTEN | 2006年 / 279卷 / 15期

关键词：

radial Schrodinger equation; oscillating potential; asymptotic behavior; Levinson's Theorem;

D O I：

10.1002/mana.200510443

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We are interested in the asymptotic behavior of solutions of a Schrodinger-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". (c) 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

引用

页码：1641 / 1663

页数：23

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