Inverse scattering theory and trace formulae for one-dimensional Schrodinger problems with singular potentials

被引:2
|
作者
Rutkevich, S. B. [1 ]
Diehl, H. W. [1 ]
机构
[1] Univ Duisburg Essen, Fak Phys, D-47048 Duisburg, Germany
关键词
inverse scattering theory; trace formulae; singular Schrodinger operator; DIFFERENTIAL-OPERATORS; CRITICAL BEHAVIOR; SYSTEM; MODEL;
D O I
10.1088/1751-8113/48/37/375201
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Inverse scattering theory is extended to one-dimensional Schrodinger problems with near-boundary singularities of the form v(z -> 0)similar or equal to-z(-2/4) + v(-1) z(-1). Trace formulae relating the boundary value v0 of the nonsingular part of the potential to spectral data are derived. Their potential is illustrated by applying them to a number of Schrodinger problems with singular potentials.
引用
收藏
页数:25
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