Journal articles
Discerned and non-discerned particles in classical mechanics and convergence of quantum mechanics to classical mechanics
Abstract : We introduce into classical mechanics the concept of nondiscerned particles for particles that are identical, non-interacting and prepared in the same way. The non-discerned particles correspond to an action and a density which satisfy the statistical Hamilton-Jacobi equations and allow to explain the Gibbs paradox. On the other hand, a discerned particle corresponds to a particular action that satisfies the special Hamilton-Jacobi equations. We then study the convergence of quantum mechanics to classical mechanics when ~ tends to 0 by considering two cases : the convergence to non-discerned classical particles and the convergence to a classical discerned particle. Based on these convergences, we propose an updated interpretation of quantum mechanics.
Cited literature [32 references]
https://hal-enac.archives-ouvertes.fr/hal-00934664
Contributor : Laurence Porte <>
Submitted on : Friday, May 16, 2014 - 2:56:01 PM
Last modification on : Wednesday, March 4, 2020 - 11:00:51 AM
Document(s) archivé(s) le : Saturday, August 16, 2014 - 10:41:07 AM
Contributor : Laurence Porte <>
Submitted on : Friday, May 16, 2014 - 2:56:01 PM
Last modification on : Wednesday, March 4, 2020 - 11:00:51 AM
Document(s) archivé(s) le : Saturday, August 16, 2014 - 10:41:07 AM
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