Some statistical aspects of the spinor field Fermi-Bose duality

Abstract

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.

10 pages

References in corpus (4)

• On a quaternionic Maxwell equation for the time-dependent electromagnetic field in a chiral medium
• Maxwell field on the Poincare group
• Splitting the Dirac equation: the case of longitudinal potentials
• Spin-1/2 Maxwell Fields

Cited by in corpus (6)

• Position and spin in relativistic quantum mechanics
• General quantum-mechanical solution for twisted electrons in a uniform magnetic field
• General form of the covariant field equations of arbitrary spin and the relativistic canonical quantum mechanics
• Covariant local field theory equations following from the relativistic canonical quantum mechanics of arbitrary spin
• Some remarks on relativistic zero-mass wave equations and supersymmetry
• On the 256-dimensional gamma matrix representation of the Clifford algebra Cl(1,7) and its relation to the Lie algebra SO(1,9)