Quantum monodromy and semi-classical trace formula

被引：50
|
作者：
Sjöstrand, J [1 ]
Zworski, M
机构：
[1] Ecole Polytech, Ctr Math, UMR 7460, CNRS, F-91128 Palaiseau, France
[2] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2002年 / 81卷 / 01期
基金：
美国国家科学基金会;
关键词：
semi-classical; trace formula; monodromy;
D O I：
10.1016/S0021-7824(01)01230-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider an h-pseudodifferential operator whose symbol has a closed Hamiltonian trajectory. There exists a Fourier integral operator which quantizes in a natural way the Poincare map. With the help of this monodromy operator, we give a trace formula which leads to a new proof of the trace formula of Duistermaat-Guillemin and Gutzwiller. (C) 2002 Editions scientifiques et medicales Elsevier SAS. All rights reserved.
引用
收藏
页码：1 / 33
页数：33
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