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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
Creators:
CreatorsEmailORCID
Bacciagaluppi, Guidog.bacciagaluppi@abdn.ac.uk
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 14:02
Last Modified: 23 Oct 2011 14:02
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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