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                <title xml:lang="en">An energy and determinist approach of quantum mechanics</title>
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                <term xml:lang="en"> exact solutions</term>
                <term xml:lang="en"> stationary modes</term>
                <term xml:lang="en"> quantum determinism</term>
                <term xml:lang="en"> Dirac equation</term>
                <term xml:lang="en">Quantum mechanics</term>
                <term xml:lang="fr">equation de Dirac</term>
                <term xml:lang="fr"> modes stationnaires</term>
                <term xml:lang="fr"> mécanique quantique relativiste</term>
                <term xml:lang="fr"> déterminisme</term>
                <term xml:lang="fr"> solutions exactes</term>
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              <p>This document presents a work based on the analysis of the properties of exact solutions to the DIRAC equation in relativistic condition of energy conservation. Inspired by the classic methods of electromagnetism, these solutions can be interpreted as exchanges of energy between the stationary modes that settled within a cavity. Exact solutions are established as a first step in Cartesian coordinates, then in a second step in spherical coordinates.  It is shown that an interpretation of this nature leads in fine to an energy and deterministic approach of quantum mechanics in complete coherence with current theories.</p>
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              <p>Ce document présente un  travail basé sur l'analyse des propriétés de solutions exactes à l'équation de DIRAC sous la condition relativiste  de conservation de l'énergie. Inspirées des méthodes classiques de l'électromagnétisme, ces solutions peuvent être interprétées comme des échanges d'énergie entre les modes stationnaires qui s'établissent au sein d'une cavité. Les solutions exactes sont établies dans un premier temps en coordonnées cartésiennes, puis dans un second temps en coordonnées sphériques.  Il est montré qu'une interprétation de cette  nature conduit in fine à une approche énergétique et déterministe de la mécanique quantique en complète cohérence avec les théories actuelles.</p>
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