Discerned and Non-Discerned Particles in Classical Mechanics and Quantum Mechanics Interpretation

Abstract : We introduce into classical mechanics the concept of non-discerned 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 in a simple manner. On the other hand, a discerned particle corresponds to a particular action that satisfies the local Hamilton-Jacobi equations. We then study the convergence of quantum mechanics to classical mechanics when hbar -> 0 by considering the convergence for the two cases. These results provide an argument for a renewed interpretation of quantum mechanics.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [29 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00507106
Contributor : Alexandre Gondran <>
Submitted on : Thursday, July 29, 2010 - 6:00:57 PM
Last modification on : Thursday, January 11, 2018 - 6:17:30 AM
Long-term archiving on: Thursday, November 4, 2010 - 10:38:09 AM

Files

indiscernability.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00507106, version 1
  • ARXIV : 1008.0936

Collections

Citation

Michel Gondran, Alexandre Gondran. Discerned and Non-Discerned Particles in Classical Mechanics and Quantum Mechanics Interpretation. 2010. ⟨hal-00507106⟩

Share

Metrics

Record views

207

Files downloads

97