Condensed Matter Physics, 2012, vol. 15, No. 4, p. 43101:110
DOI:10.5488/CMP.15.43101
arXiv:1212.6344
Title:
Some statistical aspects of the spinor field FermiBose duality
Author(s):

V.M. Simulik
(Institute of Electron Physics of the National Academy of Sciences of Ukraine, 21 Universitetska St., 88000 Uzhgorod, Ukraine)
,


I.Yu. Krivsky
(Institute of Electron Physics of the National Academy of Sciences of Ukraine, 21 Universitetska St., 88000 Uzhgorod, Ukraine)
,


I.L. Lamer
(Institute of Electron Physics of the National Academy of Sciences of Ukraine, 21 Universitetska St., 88000 Uzhgorod, Ukraine)

The structure of 29dimensional extended real CliffordDirac algebra, which has been introduced in our paper Phys. Lett. A, 2011, 375, 2479, is considered in brief. Using this algebra, the property of FermiBose duality of the Dirac equation with nonzero mass is proved. It means that Dirac equation can describe not only the fermionic but also the bosonic states. The proof of our assertion based on the examples of bosonic symmetries, solutions and conservation laws is given. Some statistical aspects of the spinor field FermiBose duality are discussed.
Key words:
spinor field, symmetry, grouptheoretical analysis, supersymmetry, FoldyWouthuysen representation, CliffordDirac algebra, FermiBose duality
PACS:
11.30z., 11.30.Cp., 11.30.j
