Tunneling between corners for Robin Laplacians

被引：24
|
作者：
Helffer, Bernard [1 ,2 ]
Pankrashkin, Konstantin [1 ]
机构：
[1] Univ Paris 11, Math Lab, UMR 8628, F-91405 Orsay, France
[2] Lab Math Jean Leray, UMR 6629, F-44322 Nantes 3, France
来源：
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2015年 / 91卷
关键词：
SEMI-CLASSICAL LIMIT; SCHRODINGER OPERATOR; LARGE PARAMETER; MULTIPLE WELLS; EIGENVALUE;
D O I：
10.1112/jlms/jdu070
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the Robin Laplacian in a domain with two corners of the same opening, and we calculate the asymptotics of the two lowest eigenvalues as the distance between the corners increases to infinity.
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页码：225 / 248
页数：24
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