Perturbation theory in bohmian mechanics

We explore the possibility of formulating a consistent time-dependent perturbation scheme in Bohmian mechanics as a (necessary?) prerequisite to construct a Bohmian radiation theory. Difficulties are outlined and also illustrated numerically. Particular attention is given to the first order perturbation of a one dimensional harmonic oscillator by an electric dipole interaction which allows for an analytic solution for the particle trajectory independently from the details of the unperturbed wave function.