On the number of periodic classical trajectories in a Hamiltonian dynamical system
High Energy Physics - Theory
2016-09-06 v1
Abstract
Periodic classical trajectories are of fundamental importance both in classical and quantum physics. Here we develop path integral techniques to investigate such trajectories in an arbitrary, not necessarily energy conserving hamiltonian system. In particular, we present a simple derivation of a lower bound for the number of periodic classical trajectories.
Keywords
Cite
@article{arxiv.hep-th/9502055,
title = {On the number of periodic classical trajectories in a Hamiltonian dynamical system},
author = {Antti J. Niemi},
journal= {arXiv preprint arXiv:hep-th/9502055},
year = {2016}
}
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