EIGENVALUE BOUNDS FOR SCHRoDINGER OPERATORS WITH RANDOM COMPLEX POTENTIALS

被引:0
|
作者
Safronoy, Oleg [1 ]
机构
[1] Univ North Carolina Charlotte, Math & Stat, Charlotte, NC 28223 USA
来源
ANALYSIS & PDE | 2023年 / 16卷 / 04期
关键词
Schrodinger operators; complex potentials; eigenvalue bounds; LIEB-THIRRING INEQUALITIES;
D O I
10.2140/apde.2023.16.1033
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider the Schrodinger operator perturbed by a random complex-valued potential. For this operator, we consider its eigenvalues situated in the unit disk. We obtain an estimate on the rate of accumulation of these eigenvalues to the positive half-line.
引用
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页码:1033 / 1060
页数:32
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