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arXiv · 1304.4771

Short Time Quantum Propagator and Bohmian Trajectories

Maurice de Gosson·Basil Hiley
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Abstract

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.

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Maurice de Gosson, Basil Hiley. 2013-04-17. Short Time Quantum Propagator and Bohmian Trajectories. https://doi.org/10.1119/1.4791775

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