Counting periodic trajectories via topological classical mechanics (Q1331211)
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scientific article; zbMATH DE number 621857
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Counting periodic trajectories via topological classical mechanics |
scientific article; zbMATH DE number 621857 |
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Counting periodic trajectories via topological classical mechanics (English)
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6 June 1995
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For systems with compact phase space and isolated periodic orbits the author counts the number of periodic trajectories by applying a path- integral approach to classical Hamiltonian mechanics developed in the author's previous papers [Phys. Lett. B 201, 525-528 (1988), Phys. Rev. D 40, 3363-3377 (1989) (together with \textit{M. Reuter} and \textit{W. D. Thacker}), and Phys. Rev. D 46, 757-765 (1992) (together with \textit{M. Reuter} and \textit{W. D. Thacker})]. Namely, it is shown that the number of periodic trajectories (of the same period) in phase space is equal to the Euler number of the underlying phase space.
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phase space
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periodic trajectories
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Euler number
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