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arXiv · 1007.3372

On the Fermi - Bose duality of the Dirac equation with nonzero mass

V. M. Simulik·I. Yu. Krivsky
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Abstract

We have proved on the basis of the symmetry analysis of the standard Dirac equation with nonzero mass that this equation may describe not only fermions of spin 1/2, but also bosons of spin 1. The new bosonic symmetries of the Dirac equation in both the Foldy -- Wouthuysen and the Pauli -- Dirac representations are found. Among these symmetries (together with the 32-dimensional pure matrix algebra of invariance) the new, physically meaningful spin 1 Poincare symmetry of equation under consideration is proved. In order to carry out the corresponding proofs a 64-dimensional extended real Clifford -- Dirac algebra is put into consideration.

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V. M. Simulik, I. Yu. Krivsky. 2010-07-20. On the Fermi - Bose duality of the Dirac equation with nonzero mass. https://arxiv.org/abs/1007.3372

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