Asymptotics of eigenvalues of the Schrodinger operator with a strong δ-interaction on a loop

被引：48

作者：

Exner, P

Yoshitomi, K ^{[1
]}

机构：

[1] Kyushu Univ, Grad Sch Math, Fukuoka 8128581, Japan

[2] Acad Sci Czech Republ, Inst Nucl Phys, CZ-25068 Rez, Czech Republic

[3] Czech Tech Univ, Doppler Inst, Prague 11519, Czech Republic

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2002年 / 41卷 / 04期

关键词：

eigenvalues of the Schrodinger operators; delta-interaction;

D O I：

10.1016/S0393-0440(01)00071-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate the operator H-beta = -Delta - betadelta((.) - Gamma) in L-2(R-2), where beta > 0 and Gamma is a closed C-4 Jordan curve in R-2. We obtain the asymptotic form of each eigenvalue of H-beta as beta tends to infinity. We also get the asymptotic form of the number of negative eigenvalues of H in the strong coupling asymptotic regime. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：344 / 358

页数：15

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