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Short-time quantum propagator and Bohmian trajectories

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Dec 2013Embargo end date: 01 Jan 2013 Austria English Publisher:Elsevier BVJournal:Physics Letters A, volume 377, pages 3,005-3,008 (issn: 0375-9601, Copyright policy )Funded by:FWF | Hamiltonian Deformations ..., FWF | Symplectic Geometry for T...
Authors: de Gosson, Maurice; Hiley, Basil J.;
APC: 1,999.4 EUR

doi: 10.1016/j.physleta.2013.08.031 , 10.48550/arxiv.1304.4771

pmid: 24319313

pmc: PMC3820027

arXiv: 1304.4771

Short-time quantum propagator and Bohmian trajectories

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.

Submitted paper

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Austria
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Keywords

Quantum Physics, 103025 Quantenmechanik, FOS: Physical sciences, 101002 Analysis, Mathematical Physics (math-ph), Physics and Astronomy(all), Article, es, 103025 Quantum mechanics, Short-time action, Quantum potential, Quantum Physics (quant-ph), Mathematical Physics, Generating function, Bohmian trajectories

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Average
Average
Top 10%
Green
hybrid