Title :
Generalized clifford - Dirac algebra and Fermi - Bose duality of the dirac equation
Author :
Simulik, V. ; Krivsky, I. ; Lamer, I.
Author_Institution :
Inst. of Electron Phys., Uzhgorod, Ukraine
Abstract :
The structure of 29-dimensional extended real Clifford - Dirac algebra, which has been introduced in our paper Phys. Lett. A. 375 (2011) 2479, is under consideration. With the help of this algebra the property of Fermi - Bose duality of the Dirac equation with nonzero mass is proved. It means that Dirac equation can describe not only the fermions but also the bosons. The proof of our assertion on the examples of bosonic symmetries, solutions and conservation laws is given. On this basis the relation of the Dirac equation to the electromagnetic theory is considered.
Keywords :
Dirac equation; algebra; bosons; fermions; 29-dimensional extended real Clifford-Dirac algebra; Dirac equation; Fermi-Bose duality; bosonic symmetries; conservation laws; electromagnetic theory; fermions; generalized Clifford-Dirac algebra;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory (MMET), 2012 International Conference on
Conference_Location :
Kyiv
Print_ISBN :
978-1-4673-4478-4
DOI :
10.1109/MMET.2012.6331206
