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    Fermi's ansatz and Bohm's quantum potential

    Dennis, Glen and de Gosson, M.A. and Hiley, Basil J. (2014) Fermi's ansatz and Bohm's quantum potential. Physics Letters A 378 (32-33), pp. 2363-2366. ISSN 0375-9601.

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    In this paper we address the following simple question: Given a wavefunction ψ(x,t)ψ(x,t) in a one-dimensional configuration space, is it possible to give a unique two-dimensional representation ρ(x,p,t)ρ(x,p,t) in a position-momentum phase plane? If so, can we find the general condition that makes this possible? We will show that this is indeed possible by using an idea introduced originally by Fermi provided the boundary of the phase space area is a closed curve satisfying a certain exact quantum condition.


    Item Type: Article
    Keyword(s) / Subject(s): Fermi function, Uncertainty principle, Quantum potential
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Natural Sciences
    Depositing User: Administrator
    Date Deposited: 19 Jun 2014 08:39
    Last Modified: 02 Aug 2023 17:11


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