The Spectral Density of the Scattering Matrix for High Energies

被引：8

作者：

Bulger, Daniel ^{[1
]}

Pushnitski, Alexander ^{[1
]}

机构：

[1] Kings Coll London, Dept Math, London WC2R 2LS, England

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2012年 / 316卷 / 03期

关键词：

Pseudodifferential Operator; Born Approximation; Integral Kernel; Asymptotic Regime; Asymptotic Density;

D O I：

10.1007/s00220-012-1551-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We determine the density of eigenvalues of the scattering matrix of the Schrodinger operator with a short range potential in the high energy asymptotic regime. We give an explicit formula for this density in terms of the X-ray transform of the potential.

引用

页码：693 / 704

页数：12

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