Conley-Zehnder指数的推广及Gutzwiller迹公式中Maslov型指数的计算
Extension of the Conley--Zehnder Index and Calculation of the Maslov-Type Index Intervening in Gutzwiller's Trace Formula
摘要：
本文的目的是给出一个计算哈密顿周期轨道的Gutzwiller-Maslov指数的显式公式。我们确定的指数出现在Gutzwiller的迹公式与一个非平凡的扩展的康利-Zehnder指数。这个指数可以与通常的Maslov指数使用metaplectic群的理论和形式主义的Arnol 'd-Leray-Maslov指数在以前的工作中开发，并扩展到辛路径与任意端点。
英文摘要：
The 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.
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