Extension of the Conley--Zehnder Index and Calculation of the Maslov-Type Index Intervening in Gutzwiller's Trace Formula

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dc.creatorDe Gosson, Maurice
dc.creatorDe Gosson, Serge
dc.date2005-08-25
dc.date2005-08-26
dc.date.accessioned2026-07-07T04:32:17Z
dc.date.available2026-07-07T04:32:17Z
dc.descriptionThe aim of this paper is to give an explicit formula for the calculation of the Gutzwiller--Maslov index of a Hamiltonian periodic orbit. We identify the index appearing in Gutzwiller's trace formula with a non-trivial extension of the Conley--Zehnder index. This index can be related to the usual Maslov index using the theory of the metaplectic group and the formalism of the Arnol'd--Leray--Maslov index developed in previous work, and is extended to symplectic paths with arbitrary endpoint.
dc.identifierhttps://arxiv.org/abs/math-ph/0508051
dc.identifierhttp://arxiv.org/abs/math-ph/0508051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58138
dc.subjectMathematical Physics
dc.subjectChaotic Dynamics
dc.subject37J05, 53D12, 53Z05, 81S30
dc.titleExtension of the Conley--Zehnder Index and Calculation of the Maslov-Type Index Intervening in Gutzwiller's Trace Formula
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