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Chapitre D'ouvrage Année : 2005

A Conceptual Introduction to Nelson's Mechanics

Résumé

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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Dates et versions

halshs-00996258 , version 1 (26-05-2014)

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  • HAL Id : halshs-00996258 , version 1

Citer

Guido Bacciagaluppi. A Conceptual Introduction to Nelson's Mechanics. R. Buccheri, M. Saniga, A. Elitzur. Endophysics, time, quantum and the subjective, World Scientific, Singapore, pp.367-388, 2005. ⟨halshs-00996258⟩
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