EIGENVALUE ASYMPTOTICS FOR THE SCHRODINGER OPERATOR WITH PERTURBED PERIODIC POTENTIAL

被引：16

作者：

RAIKOV, GD

机构：

[1] Section of Mathematical Physics, Institute of Mathematics, Bulgarian Academy of Sciences, Sofia, 1090

来源：

INVENTIONES MATHEMATICAE | 1992年 / 110卷 / 01期

关键词：

D O I：

10.1007/BF01231325

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Schrodinger operator H = - DELTA + W + V acting in L2 (R(m)), m greater-than-or-equal-to 2, with periodic potential W perturbed by a potential V which decays slowly at infinity. We study the asymptotic behaviour of the discrete spectrum of H near any given boundary point of the essential spectrum.

引用

页码：75 / 93

页数：19

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