Discerned and Non-Discerned Particles in Classical Mechanics and Quantum Mechanics Interpretation
Gondran, Alexandre; Gondran, Michel (2011), Discerned and Non-Discerned Particles in Classical Mechanics and Quantum Mechanics Interpretation, Annales de la Fondation Louis de Broglie, 36, p. 117-136
TypeArticle accepté pour publication ou publié
External document linkhttp://hal.archives-ouvertes.fr/hal-00507106/en/
Journal nameAnnales de la Fondation Louis de Broglie
Fondation Louis de Broglie
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Abstract (EN)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.
Subjects / Keywordsquantum mechanics; discerned particles; Gibbs paradox; Hamilton-Jacobi equations; non-discerned particles
Showing items related by title and author.
The two limits of the Schrödinger equation in the semi-classical approximation: discerned and non-discerned particles in classical mechanics Gondran, Alexandre; Gondran, Michel (2011) Communication / Conférence