A New Levinson's Theorem for Potentials with Critical Decay

被引：3

作者：

Jia, Xiaoyao ^{[1
]}

Nicoleau, Francois ^{[2
]}

Wang, Xue Ping ^{[2
]}

机构：

[1] Henan Univ Sci & Technol, Dept Math, Luoyang 471003, Peoples R China

[2] Univ Nantes, Lab Math Jean Leray, CNRS, UMR 6629, F-44322 Nantes 3, France

来源：

ANNALES HENRI POINCARE | 2012年 / 13卷 / 01期

关键词：

SPECTRAL SHIFT FUNCTION; SCHRODINGER-OPERATORS; ASYMPTOTIC-BEHAVIOR; TIME; PERTURBATIONS; EXPANSIONS; SCATTERING; THRESHOLD; RESOLVENT;

D O I：

10.1007/s00023-011-0117-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the low-energy asymptotics of the spectral shift function for Schrodinger operators with potentials decaying like O(1/vertical bar x vertical bar(2)). We prove a generalized Levinson's theorem for this class of potentials in presence of zero eigenvalue and zero resonance.

引用

页码：41 / 84

页数：44

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