On the "old" and "new" relativistic wave equations for the particle having spin s=3/2
High Energy Physics - Theory
2022-05-24 v2
Abstract
Relativistic wave equation of motion without redundant components for the particle having spin 3/2 has been considered. In order to show the newness a comparison with the known equations for the spin s=3/2 field is given. Therefore, the brief review of the relativistic wave equations for the particle with spin s=3/2 is given. In our equation the wave function for the particle-antiparticle doublet has only 8 components. The consideration is carried out both at the level of relativistic quantum mechanics and at the level of local field theory. The extended Foldy--Wouthuysen transformation, which gives the operator link between these two levels is suggested.
Keywords
Cite
@article{arxiv.2204.05167,
title = {On the "old" and "new" relativistic wave equations for the particle having spin s=3/2},
author = {V. M. Simulik and I. I. Vyikon},
journal= {arXiv preprint arXiv:2204.05167},
year = {2022}
}
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14 pages