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Equivalence of Dirac and Maxwell equations and quantum mechanics
Authors:Jayme Vaz Jr  Waldyr A Rodrigues Jr
Institution:(1) Departamento de Matemática Aplicada, IMECC-UNICAMP, Universidade Estadual de Campinas, 13083 Campinas, SP, Brazil;(2) Departamento de Ciências Naturais, Fundação de Ensino Superior de São João del Rei, 36300 São João del Rei, MG, Brazil
Abstract:In this paper we present an analysis of the possible equivalence of Dirac and Maxwell equations using the Clifford bundle formalism and compare it with Campolattaro's approach, which uses the traditional tensor calculus and the standard Dirac covariant spinor field. We show that Campolattaro's intricate calculations can be proved in few lines in our formalism. We briefly discuss the implications of our findings for the interpretation of quantum mechanics.
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