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Nelsonian mechanics revisited

1998/11/16 by Guido Bacciagaluppi
Medicine · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Biofield Effects and Biophysics #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1023/a:1021622603864

published as Found.Phys.Lett. 12 (1999) 1-16 · LaTeX, 19 pp., submitted to Foundations of Physics

arxiv created 1998/11/16 · openalex publication_date 1999/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

In de Broglie and Bohm's pilot-wave theory, as is well known, it is possible to consider alternative particle dynamics while still preserving the quantum distribution. I present the analogous result for Nelson's stochastic theory, thus characterising the most general diffusion processes that preserve the quantum equilibrium distribution, and discuss the analogy with the construction of the dynamics for Bell's beable theories. I briefly comment on the problem of convergence to the quantum distribution and on possible experimental constraints on the alternative dynamics.

Citations