Equidistribution of phase shifts in trapped scattering

被引：1

作者：

Ingremeau, Maxime ^{[1
,2
]}

机构：

[1] CNRS, Unite Mixte Rech 7501, Inst Rech Math Avancee, Math, Strasbourg, France

[2] Univ Strasbourg, Strasbourg, France

来源：

JOURNAL OF SPECTRAL THEORY | 2018年 / 8卷 / 04期

关键词：

Phase shifts; scattering theory; semiclassical analysis; RESOLVENT; OPERATOR; BOUNDS;

D O I：

10.4171/JST/225

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider semiclassical scattering for compactly supported perturbations of the Laplacian and show equidistribution of eigenvalues of the scattering matrix at (classically) non-degenerate energy levels. The only requirement is that sets of fixed points of certain natural scattering relations have measure zero. This extends the result of [16], where the authors proved the equidistribution result under a similar assumption on fixed points but with the condition that there is no trapping.

引用

页码：1199 / 1220

页数：22

共 29 条

[1] Structure of the semi-classical amplitude for general scattering relations [J].