Fermi-Bose duality of the Dirac equation and extended real Clifford-Dirac algebra

• Published in: Condensed Matter Physics
• Date: 2010
• Main Authors: Krivsky, I.Yu., Simulik, V.M.
• Format: Article
• Language: English
• Published: Інститут фізики конденсованих систем НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/32122
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Fermi-Bose duality of the Dirac equation and extended real Clifford-Dirac algebra / I.Yu. Krivsky, V.M. Simulik // Condensed Matter Physics. — 2010. — Т. 13, № 4. — С. 43101:1-15. — Бібліогр.: 26 назв. — англ.

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 representat...