Derivation of the Dirac and Dirac-like equations of arbitrary spin from the corresponding relativistic canonical quantum mechanics
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
INIS
- Country of Publication
- Ukraine
- Country of Input or Organization
- Ukraine
- INIS RN
- 47039307
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DIRAC EQUATION; MAXWELL EQUATIONS; QUANTUM MECHANICS; RELATIVISTIC RANGE; SCHROEDINGER EQUATION; SPIN
- Descriptors DEC
- ANGULAR MOMENTUM; DIFFERENTIAL EQUATIONS; ENERGY RANGE; EQUATIONS; FIELD EQUATIONS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE PROPERTIES; WAVE EQUATIONS