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.

引用

页数：25

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