THE NON-RELATIVISTIC APPROXIMATION IN THE THEORY OF SPIN ½ PARTICLE WITH THREE ADDITIONAL CHARACTERISTICS IN PRESENCE OF ELECTROMAGNETIC FIELDS
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Abstract
We start with the well-known Dirac-type four-component equation for a spin ½ particle with three additional characteristics, which includes several interaction terms interpreted as related to certain additional electromagnetic characteristics of a spin ½ particle. In this paper, we investigate the nonrelativistic approximation for this theory in the presence of electromagnetic fields. It turns out that in the nonrelativistic approximation, the derived equation takes the form of the standard Pauli-like equation for a spin ½ particle with an anomalous magnetic moment, defined as the sum of three parameters \((\mu+\sigma +\eta)\) interpreted differently in the relativistic case.
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1. A spin ½ particle with three additional characteristics in presence of external fields, general theory within the Gelʼfand – Yaglom formalism / V. V. Kisel [et al] // 32-nd International Seminar : Nonlinear Phenomena in Complex Systems, Minsk, June 02–06, 2025 / Joint Institute for Power and Nuclear Research Sosny NASB ; ed. board: A. G. Trifonov [et al.] – Mn., 2025. – P. 262–286.
2. Pletyukhov, V. A. Relativistic wave equations and internal degrees of freedom / V. A. Pletyukhov, V. M. Redʼkov, V. I. Strazhev. – Mn. : Bel. navura, 2015. – 328 p.
3. Elementary Particles with Internal Structure in External Fields. Vol. I : General Theory ; Vol. II : Physical Problems / V. V. Kisel [et al]. – New York : Nova Science Publishers Inc., 2018. – 404 p.
4. Redʼkov, V. M. Field particles in Riemannian space and the Lorentz group / V. M. Redʼkov. – Mn. : Bel. navuka, 2009. – 486 p.