1304.4771 (Maurice de Gosson et al.)

Short Time Quantum Propagator and Bohmian Trajectories    [PDF]

Maurice de Gosson, Basil Hiley

We begin by giving correct expressions for the short-time action; following the work of one of us and Makri--Miller. We use these estimates to derive a correct expression modulo modulo delta(t)sqr for the quantum propagator and we show that the quantum potential is negligible modulo delta(t)sqr for a point source. We finally prove that this implies that the quantum motion is classical for very short times.

View original: http://arxiv.org/abs/1304.4771