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

共 50 条

[31] On the Solutions of the Radial Schrodinger Equation Using Symmetry Methods
Kasapoglu, Kismet
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2020), 2021, 2325
[32] ON THE UNIQUENESS OF THE POTENTIAL IN A SCHRODINGER EQUATION FOR A GIVEN ASYMPTOTIC PHASE
LEVINSON, N
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1949, 55 (05) : 517 - 517
[33] ON THE UNIQUENESS OF THE POTENTIAL IN A SCHRODINGER EQUATION FOR A GIVEN ASYMPTOTIC PHASE
LEVINSON, N
MATEMATISK-FYSISKE MEDDELELSER KONGELIGE DANSKE VIDENSKABERNES SELSKAB, 1949, 25 (09): : 1 - 29
[34] An asymptotic series solution to the Schrodinger equation for a model potential
Chao, SD
Lin, SH
EUROPEAN PHYSICAL JOURNAL D, 1999, 7 (04): : 475 - 478
[35] WAVE OPERATORS FOR SCHRODINGER EQUATION WITH FAST-OSCILLATING POTENTIAL
MATVEEV, VB
SKRIGANO.MM
DOKLADY AKADEMII NAUK SSSR, 1972, 202 (04): : 755 - +
[36] The semiclassical limit of the nonlinear Schrodinger equation in a radial potential
Benci, V
D'Aprile, T
JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 184 (01) : 109 - 138
[37] Effective approximation for a nonlocal stochastic Schrodinger equation with oscillating potential
Lin, Li
Yang, Meihua
Duan, Jinqiao
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2023, 74 (01):
[38] ITERATIVE SOLUTION OF RADIAL SCHRODINGER EQUATION WITH A NONLOCAL POTENTIAL
ARNOLD, LG
SEYLER, RG
BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1971, 16 (04): : 579 - &
[39] AN INVERSE PROBLEM FOR THE SCHRODINGER-EQUATION WITH A RADIAL POTENTIAL
CHRIST, CS
JOURNAL OF DIFFERENTIAL EQUATIONS, 1993, 103 (02) : 247 - 259
[40] AN ASYMPTOTIC REPRESENTATION OF OSCILLATING SOLUTIONS OF AN EMDEN-FOWLER EQUATION
CHANTURIYA, TA
DIFFERENTIAL EQUATIONS, 1981, 17 (06) : 662 - 666

← 1 2 3 4 5 →