RESONANCES FOR PERTURBATIONS OF A SEMICLASSICAL PERIODIC SCHRODINGER OPERATOR

被引:9
作者
KLOPP, F
机构
[1] Départment de Mathématique Université de Paris-Sud Centre d'Orsay, U.R.A. 760 C.N.R.S., Orsay Cédex, F-91405
来源
ARKIV FOR MATEMATIK | 1994年 / 32卷 / 02期
关键词
D O I
10.1007/BF02559576
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the semi-classical regime we study the resonances of the operator P-t = -h(2) Delta + V + t .delta V in some small neighborhood of the first spectral band of P-0. Here V is a periodic potential, delta V a compactly supported potential and t a small coupling constant. We construct a meromorphic multivalued continuation of the resolvent of P-t, and define the resonances to be the poles of this continuation. We compute these resonances and study the way they turn into eigenvalues when t crosses a certain threshold.
引用
收藏
页码:323 / 371
页数:49
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