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
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2015年 / 48卷 / 37期
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.
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页数：25
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