  Bohmian mechanics is a non-relativistic quantum theory based on a particle
approach. In this paper we study the Schr\"odinger equation with rapidly
oscillating potential and the associated Bohmian trajectory. We prove that the
corresponding Bohmian trajectory converges locally in measure, and the limit
coincides with the Bohmian trajectory for the effective Schr\"{o}dinger
equation on a finite time interval. This is beneficial for the efficient
simulation of the Bohmian trajectories in oscillating potential fields.
