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    Short-time quantum propagator and Bohmian trajectorie

    de Gosson, M. and Hiley, Basil (2013) Short-time quantum propagator and Bohmian trajectorie. Physics Letters A 377 (42), pp. 3005-3008. ISSN 0375-9601.

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    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 Δt2 for the quantum propagator and we show that the quantum potential is negligible modulo Δt2 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.


    Item Type: Article
    Keyword(s) / Subject(s): Generating function, Short-time action, Quantum potential, Bohmian trajectories
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Natural Sciences
    Depositing User: Administrator
    Date Deposited: 11 Sep 2013 12:05
    Last Modified: 02 Aug 2023 17:07


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