Scattering matrices and Weyl functions

被引：52

作者：

Behrndt, Jussi ^{[1
]}

Malamud, Mark M. ^{[2
]}

Neidhardt, Hagen ^{[3
]}

机构：

[1] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

[2] Donetsk Natl Univ, Dept Math, UA-83055 Donetsk, Ukraine

[3] WIAS Berlin, D-10117 Berlin, Germany

来源：

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2008年 / 97卷

关键词：

D O I：

10.1112/plms/pdn016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a scattering system {A(Theta), A(0)} consisting of self-adjoint extensions A(Theta) and A(0) of a symmetric operator A with finite deficiency indices, the scattering matrix {S-Theta(lambda)} and a spectral shift function xi(Theta) are calculated in terms of the Weyl function associated with a boundary triplet for A*, and a simple proof of the Krein-Birman formula is given. The results are applied to singular Sturm-Liouville operators with scalar and matrix potentials, to Dirac operators and to Schrodinger operators with point interactions.

引用

页码：568 / 598

页数：31

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