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.
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页码：344 / 358
页数：15
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