Complex Trajectories of a Simple Pendulum

Abstract

The motion of a classical pendulum in a gravitational field of strength g is explored. The complex trajectories as well as the real ones are determined. If g is taken to be imaginary, the Hamiltonian that describes the pendulum becomes PT-symmetric. The classical motion for this PT-symmetric Hamiltonian is examined in detail. The complex motion of this pendulum in the presence of an external periodic forcing term is also studied.

11 pages, 12 figures

References in corpus (1)

• Classical Trajectories for Complex Hamiltonians

Cited by in corpus (27)

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