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dc.contributor.authorGondran, Alexandre
HAL ID: 8234
ORCID: 0000-0003-0116-021X
dc.contributor.authorGondran, Michel
dc.subjectquantum mechanicsen
dc.subjectdiscerned particlesen
dc.subjectGibbs paradoxen
dc.subjectHamilton-Jacobi equationsen
dc.subjectnon-discerned particlesen
dc.titleDiscerned and Non-Discerned Particles in Classical Mechanics and Quantum Mechanics Interpretationen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe 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.en
dc.relation.isversionofjnlnameAnnales de la Fondation Louis de Broglie
dc.relation.isversionofjnlpublisherFondation Louis de Broglie
dc.subject.ddclabelSciences connexes (physique, astrophysique)en

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