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

Authors

  • B.E. Grinyuk Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine

DOI:

https://doi.org/10.15407/ujpe69.11.889

Keywords:

Dirac equation, first-order differential equations for particles with spin S = 0 and S = 1

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.

References

B.E. Grinyuk. Equations of motion for particles with spin S = 0 and S = 1 in the limit of high energies. Preprint BITP: ITP-95-11Р, Kyiv, 1995, 13 p.

N.N. Bogoliubov, D.V. Shirkov. Introduction to Theory of Quantized Fields (John Wiley and Sons Canada, 1980).

A.I. Akhiezer, V.B. Berestetskii. Quantum Electrodynamics: Authorized English Ed., Rev. and Enl. by the Authors (Interscience Publishers, 1965).

https://doi.org/10.1119/1.1971111

W.I. Fushchich, A.G. Nikitin. Symmetries of equations of quantum mechanics (Allerton Press Inc., 1994).

B.E. Grinyuk. First-order differential equations for a particle with spin S = 1. Ukr. J. Phys. 38 (10), 1447 (1993).

B.E. Grinyuk. First-order differential equations for a particle with spin S = 1. Preprint arXiv: 1801.08414v1 [quant-ph] 25 Jan 2018.

A.S. Davydov. Quantum Mechanics (Pergamon Press, 1965) [ISBN: 9781483187839].

Published

2024-12-03

How to Cite

Grinyuk, B. (2024). Equations for Particles with Spin S = 0 and S = 1 in Spinor Representation. Ukrainian Journal of Physics, 69(11), 889. https://doi.org/10.15407/ujpe69.11.889

Issue

Section

Theory