title: Short-time quantum propagator and Bohmian trajectories.
abstract: We begin by giving correct expressions for the short-time action following the work Makri-Miller. We use these estimates to derive an accurate expression modulo [Formula: see text] for the quantum propagator and we show that the quantum potential is negligible modulo [Formula: see text] for a point source, thus justifying an unfortunately largely ignored observation of Holland made twenty years ago. We finally prove that this implies that the quantum motion is classical for very short times.
authors: Universität Wien, Fakultät für Mathematik, NuHAG, Wien 1090, Austria.
authors: Maurice
authors: M
authors: de Gosson
authors: Basil
authors: B
authors: Hiley
keywords: Bohmian trajectories; Generating function; Quantum potential; Short-time action