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

页码：1 / 33

页数：33

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