One-Dimensional Schrodinger Operators with Complex Potentials

被引：9

作者：

Derezinski, Jan ^{[1
]}

Georgescu, Vladimir ^{[2
]}

机构：

[1] Univ Warsaw, Fac Phys, Dept Math Methods Phys, Pasteura 5, PL-02093 Warsaw, Poland

[2] Univ Cergy Pontoise, Dept Math, F-95000 Cergy Pontoise, France

来源：

ANNALES HENRI POINCARE | 2020年 / 21卷 / 06期

关键词：

SELF-ADJOINT EXTENSIONS; DIFFERENTIAL-OPERATORS;

D O I：

10.1007/s00023-020-00901-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss realizations of L:=- partial differential x2+V(x) as closed operators on L2]a,b[where V is complex, locally integrable and may have an arbitrary behavior at (finite or infinite) endpoints a and b. The main tool of our analysis is Green's operators, that is, various right inverses of L.

引用

页码：1947 / 2008

页数：62

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