具有复能量的经典粒子的周期轨道
Periodic orbits for classical particles having complex energy
摘要:
本文回顾了复经典力学的早期工作,其中有人认为,当一个经典粒子的能量是真实的,在一个解析势,粒子的轨迹是封闭的和周期性的,但当能量是复杂的,经典的轨迹是开放的。在这里,它表明,有一个离散的本征曲线在复杂的能量平面的粒子轨迹是封闭的和周期性的。
英文摘要:
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.
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