Semi-Classical Behavior of the Spectral Function
偏微分方程分析
2007-05-23 v1
摘要
We study the semi-classical behavior of the spectral function of the Schr\"{o}dinger operator with short range potential. We prove that the spectral function is a semi-classical Fourier integral operator quantizing the forward and backward 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
@article{arxiv.math/0502555,
title = {Semi-Classical Behavior of the Spectral Function},
author = {Ivana Alexandrova},
journal= {arXiv preprint arXiv:math/0502555},
year = {2007}
}
备注
10 pages