Published October 2015 | Version v1
Journal article

Derivation of the Dirac and Dirac-like equations of arbitrary spin from the corresponding relativistic canonical quantum mechanics

Creators

  • 1. institute of Electron Physics, NASU, Uzhgorod (Ukraine)

Description

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 > 0 have been introduced as well

Additional details

Publishing Information

Journal Title
Ukrayins'kij Fyizichnij Zhurnal (Kyiv)
Journal Volume
60
Journal Issue
no.10
Journal Page Range
p. 985-1006
ISSN
0372-400X