On the Fermi - Bose duality of the Dirac equation with nonzero mass
Mathematical Physics
2010-07-21 v1 math.MP
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.
Keywords
Cite
@article{arxiv.1007.3372,
title = {On the Fermi - Bose duality of the Dirac equation with nonzero mass},
author = {V. M. Simulik and I. Yu. Krivsky},
journal= {arXiv preprint arXiv:1007.3372},
year = {2010}
}