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New approach to the Positron equation by means of the algebraic structure of the ideals
Authors:D. Miralles  J. M. Parra  J. Vaz
Affiliation:1.Departament de Física Fonamental,Universitat de Barcelona,Barcelona,Spain;2.Departamento de Matemática Aplicada,Universidade Estadual de Campinas-Unicamp,Campinas,Brazil;3.Department de Comunicacions i Teoria del Senyal. Enginyeria La Salle,Universitat Ramon Llull,Barcelona,Spain
Abstract:Starting from the electron Lagrangian density and expanding it with a more general idempotent than the one used by Hestenes, we achieve to show how the algebraic structure of the ideals draws a distinction between electrons and positrons without any need of the charge conjugation. A remarkable fact, consequence of the formalism used, is evidenced by the magnetization density discriminating the sign of the charge of the particles involved.
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