Condensed Matter Physics, 2012, vol. 15, No. 4, p. 43101:1-10
DOI:10.5488/CMP.15.43101           arXiv:1212.6344

Title: Some statistical aspects of the spinor field Fermi-Bose 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 29-dimensional extended real Clifford-Dirac algebra, which has been introduced in our paper Phys. Lett. A, 2011, 375, 2479, is considered in brief. Using 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 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 Fermi-Bose duality are discussed.

Key words: spinor field, symmetry, group-theoretical analysis, supersymmetry, Foldy-Wouthuysen representation, Clifford-Dirac algebra, Fermi-Bose duality
PACS: 11.30-z., 11.30.Cp., 11.30.j


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