Equations for Particles with Spin S = 0 and S = 1 in Spinor Representation

Equations for particles with spin S = 0 and S = 1 are presented in the form of a system of two Dirac equations with additional conditions (constraints) imposed on the components of the wave functions. In case of identical masses (or at the high-energy limit, where the difference in mass is negligible), the joint system of equations is formulated having particular solutions coinciding with those for spin S = 0 and S = 1 cases, and simultaneously being the two Dirac equations for two independent particles with spin S = 1/2. A principle of constructing the equations for a particle with an arbitrary spin in the spinor representation is proposed.

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Publication Details

Journal
Ukrainian Journal of Physics
Published
2024-12-03
DOI
https://doi.org/10.15407/ujpe69.11.889
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
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article

Equations for Particles with Spin S = 0 and S = 1 in Spinor Representation

B.E. Grinyuk
Ukrainian Journal of Physics
Algebraic and Geometric Analysis
article

Equations for Particles with Spin S = 0 and S = 1 in Spinor Representation

B.E. Grinyuk
article en

Abstract

Equations for particles with spin S = 0 and S = 1 are presented in the form of a system of two Dirac equations with additional conditions (constraints) imposed on the components of the wave functions. In case of identical masses (or at the high-energy limit, where the difference in mass is negligible), the joint system of equations is formulated having particular solutions coinciding with those for spin S = 0 and S = 1 cases, and simultaneously being the two Dirac equations for two independent particles with spin S = 1/2. A principle of constructing the equations for a particle with an arbitrary spin in the spinor representation is proposed.

Ukrainian Journal of PhysicsVol. 69(11)
Bogolyubov Institute for Theoretical Physics (UA)
Affordable and clean energy
Openalex Percentile: Top 64%
Algebraic and Geometric Analysis
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