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A Conceptual Introduction to Nelson’s Mechanics

Bacciagaluppi, Guido A Conceptual Introduction to Nelson’s Mechanics. World Scientific, Singapore.

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    Abstract

    Nelson’s programme for a stochastic mechanics aims to derive the wave function and the Schroedinger equation from natural conditions on a diffusion process in configuration space. If successful, this pro- gramme might have some advantages over the better-known determin- istic pilot-wave theory of de Broglie and Bohm. The essential points of Nelson’s strategy are reviewed, with particular emphasis on concep- tual issues relating to the role of time symmetry. The main problem in Nelson’s approach is the lack of strict equivalence between the cou- pled Madelung equations and the Schroedinger equation. After a brief discussion, the paper concludes with a possible suggestion for trying to overcome this problem.


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    Item Type: Other
    Additional Information: This paper is a revised version of the paper as originally published.
    Keywords: quantum mechanics, stochastic mechanics, Nelson
    Subjects: Specific Sciences > Physics > Quantum Mechanics
    Depositing User: Guido Bacciagaluppi
    Date Deposited: 23 Oct 2011 10:02
    Last Modified: 23 Oct 2011 10:02
    Item ID: 8853
    Journal or Publication Title: R. Buccheri, M. Saniga and A. Elitzur (eds), Endophysics, time, quantum and the subjective
    Publisher: World Scientific
    URI: http://philsci-archive.pitt.edu/id/eprint/8853

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