Semi-classical behavior of the spectral function

被引：0

作者：

Alexandrova, I ^{[1
]}

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 3G3, Canada

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 08期

关键词：

D O I：

10.1090/S0002-9939-06-08463-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the semi-classical behavior of the spectral function of the Schrodinger operator with short range potential. We prove that the spectral function is a semi-classical Fourier integral operator quantizing the forward and backward Hamiltonian flow relations of the system. Under a certain geometric condition we explicitly compute the phase in an oscillatory integral representation of the spectral function.

引用

页码：2295 / 2302

页数：8

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