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
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
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页数:16
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