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• W2940850151 startingPage "012099" @default.
• W2940850151 abstract "Bosonic symmetries of the Dirac equation with nonzero mass, which existence is under consideration after our publications in the years 2011–2015, are proved here on the basis of two different methods. The first one appeals to the 64-dimensional gamma matrix representation of the Clifford algebra Cℓ(0,6) over the field of real numbers and the 28-dimensional gamma matrix representation of the algebra SO(8) (over the field of real numbers as well). The second way of proof is based on the start from the relativistic canonical quantum mechanics of spin (1,0) particle multiplet and its relationship with the Dirac equation, which is given by the extended Foldy-Wouthuysen transformation suggested by us in 2014–2017. Both the Lorentz and Poincaré bosonic symmetries are considered. The 31-dimensional algebra of invariance is found. The bosonic solutions and conservation laws are found as well. The considered phenomenon is called the Fermion-Boson duality of the Dirac equation according to P. Garbaczewski's titles suggested in 1986." @default.
• W2940850151 created "2019-05-03" @default.
• W2940850151 creator A5032748966 @default.
• W2940850151 date "2019-04-01" @default.
• W2940850151 modified "2023-09-30" @default.
• W2940850151 title "On the bosonic symmetries of the Dirac equation with nonzero mass" @default.
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• W2940850151 doi "https://doi.org/10.1088/1742-6596/1194/1/012099" @default.
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