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
收藏
页码：2295 / 2302
页数：8
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