Dynamics of a rotating particle under a time-dependent potential: Exact quantum solution from the classical action

The classical action for a three-dimensional rotating particle with time-dependent angular velocity and that submitted to a general linear and quadratic time-dependent potential is explicitly calculated and, via path integral approach, the quantum propagator is obtained. For some special values of the coefficients, it is also shown that the quantum propagator in the rotating frame contains a phase factor which gives rise to a quantum interference phenomenon.