Block operator matrices, optical potentials, trace class perturbations and scattering

被引：0
|
作者：
Behrndt, Jussi [1 ]
Neidhardt, Hagen [2 ]
Rehberg, Joachim [2 ]
机构：
[1] Tech Univ Berlin, Inst Math, Str des 17, Juni 136, D-10623 Berlin, Germany
[2] Weierstrass Ins Angew Anal & Stochastik, D-10117 Berlin, Germany
来源：
OPERATOR THEORY IN INNER PRODUCT SPACES | 2007年 / 175卷
关键词：
Feshbach decomposition; optical potential; Lax-Phillips scattering theory; dissipative scattering theory; scattering matrix; characteristic function; dissipative operators;
D O I：
10.1007/978-3-7643-8270-4_3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For an operator-valued block-matrix model, which is called in quantum physics a Feshbach decomposition, a scattering theory is considered. Under trace class perturbations the channel scattering matrices are calculated. Using Feshbach's optical potential it is shown that for a given spectral parameter the channel scattering matrices can be recovered either from a dissipative or from a Lax-Phillips scattering theory.
引用
收藏
页码：33 / 49
页数：17
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