Eigenvalues of a periodic Schrodinger operator perturbed by a fast decaying potential

被引：1

作者：

Safronov, Oleg ^{[1
]}

机构：

[1] Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2022年 / 63卷 / 12期

关键词：

H-LAMBDA-W; DISCRETE SPECTRUM; GAP; BRANCHES;

D O I：

10.1063/5.0107147

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Let [lambda, mu] be an interval contained in a spectral gap of a periodic Schrodinger operator H. Consider H(alpha) = H - alpha V, where V is a fast decaying positive function. We study the asymptotic behavior of the number of eigenvalues of H(alpha) in [lambda, mu] as alpha -> infinity. Published under an exclusive license by AIP Publishing

引用

页数：16

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