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Maslov indices for periodic orbits

E. Meinrenken

hep-tharXiv:hep-th/9209109

Abstract

It is shown that there is a generalization of the Conley-Zehnder index for periodic trajectories of a classical Hamiltonian system (Q, ω, H) from the case Q = T*Rn 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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