Derivation Of The Dirac and Dirac-Like Equations of Arbitrary Spin from the Corresponding Relativistic Canonical Quantum Mechanics

  • V. M. Simulik Institute of Electron Physics, Nat. Acad. of Sci. of Ukraine
Keywords: relativistic quantum mechanics, Sch¨odinger–Foldy equation, Dirac equation, Maxwell equations, arbitrary spin

Abstract

The new relativistic equations of motion for the particles with spin s = 1, s = 3/2, and s = 2 and nonzero mass have been introduced. The description of the relativistic canonical quantum mechanics of the arbitrary mass and spin has been given. The link between the relativistic canonical quantum mechanics of the arbitrary spin and the covariant local field theory has been found. The manifestly covariant arbitrary-spin field equations that follow from the quantum mechanical equations have been considered. The covariant local field theory equations for a spin s = (1,1) particle-antiparticle doublet, spin s = (1,0,1,0) particle-antiparticle multiplet, spin s = (3/2,3/2) particle-antiparticle doublet, spin s = (2,2) particle-antiparticle doublet, spin s = (2,0,2,0) particle-antiparticle multiplet, and spin s = (2,1,2,1) particle-antiparticle multiplet have been introduced. The Maxwell-like equations for a boson with spin s = 1 and mass m > 0 have been introduced as well.

Published
2019-01-10
How to Cite
Simulik, V. (2019). Derivation Of The Dirac and Dirac-Like Equations of Arbitrary Spin from the Corresponding Relativistic Canonical Quantum Mechanics. Ukrainian Journal of Physics, 60(10), 985. https://doi.org/10.15407/ujpe60.10.0985
Section
Fields and elementary particles