Maslov indices for periodic orbits

Abstract

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 $Q=T^{\ast }{R}^n$ 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.

5 pages, THEP 92/21