Maslov indices for periodic orbits

Details Maslov indices for periodic orbits Maslov indices for periodic orbits

1992-09-26

arxiv.org/abs/hep-th/9209109v1

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, THEP 92/21

Scientific paper

It is shown that there is a generalization of the Conley-Zehnder index for periodic trajectories of a classical Hamiltonian system $(Q, \omega, H)$ from the case $Q = T^*R^n$ to arbitrary symplectic manifolds. As it turns out, it is precisely this index which appears as a Maslov phase in the trace formulas by Gutzwiller and Duistermaat-Guillemin. Contribution presented at the XIX ICGTMP Salamanca June 92.

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