Quantum dynamics in phase space: Moyal trajectories 3

We present in this paper a new approach to the calculation of Moyal trajectories, which delivers straightforwardly the dynamical equations that determine these trajectories. We demonstrate this with three examples: the anharmonic oscillator with a Hamiltonian h(p, q) = p(2)/2 + q(4)/4, the physical pendulum with a Hamiltonian h(p, q) = p(2)/2 + cos(q), and the H` enon-Heiles system with a Hamiltonian h(p(1), p(2), q(1), q(2)) = (p(1)(2) + p(2)(2))/2 + (q(1)(2) + q(2)(2))/2 + q(2)(q(1)(2) q(2)(2)/3). Published by AIP Publishing.