Using simple time-dependent methods, we study the phenomenon of dynamical capture in non-relativistic quantum mechanics. We show that for time-dependent potentials that are asymptotically constant in time, the probability of an incoming particle becoming trapped in the interaction region is in general non-zero. Capture in a stationary beam is also discussed.

Martin, Ph.A. & Sassoli de Bianchi, M. (1997). Dynamical capture in quantum mechanics. J. Phys. A: Math. Gen. 30, pp. 1011-1015. Doi: 10.1088/0305-4470/30/3/023.