Trace Formulas for Schrodinger Operators with Complex Potentials

被引：3

作者：

Korotyaev, E. ^{[1
]}

机构：

[1] St Petersburg State Univ, Dept Math Anal, Univ Skaya Nab 7-9, St Petersburg 199034, Russia

来源：

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2020年 / 27卷 / 01期

关键词：

INEQUALITIES; ASYMPTOTICS; EIGENVALUES; BOUNDS;

D O I：

10.1134/S1061920820010082

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider 3-dimensonal Schrodinger operators with complex potential. We obtain new trace formulas with new terms, associated with singular measure. In order to prove these results, we study analytic properties of a modified Fredholm determinant as a function from Hardy spaces in the upper half-plane. In fact, we reformulate spectral theory problems as problems of analytic functions from Hardy spaces.

引用

页码：82 / 98

页数：17

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