期刊
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
卷 81, 期 1, 页码 1-33出版社
GAUTHIER-VILLARS/EDITIONS ELSEVIER
DOI: 10.1016/S0021-7824(01)01230-2
关键词
semi-classical; trace formula; monodromy
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.
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