1 research outputs found
Periodic orbits for classical particles having complex energy
This paper 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.Comment: 12 pages, 9 figure