Periodic orbits for classical particles having complex energy |
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Authors: | Alexander G Anderson Carl M Bender Uriel I Morone |
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Institution: | Department of Physics, Washington University, St. Louis, MO 63130, USA |
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Abstract: | This Letter revisits earlier work on complex classical mechanics in which it was argued that when the energy of a classical particle in an analytic potential is real, the particle trajectories are closed and periodic, but that when the energy is complex, the classical trajectories are open. Here it is shown that there is a discrete set of eigencurves in the complex-energy plane for which the particle trajectories are closed and periodic. |
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Keywords: | PT symmetry Analyticity Elliptic functions Classical mechanics |
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