Nonrelativistic approximation in 39-component theory for a spin 2 particle-Reference-Cited by-同舟云学术

Nonrelativistic approximation in 39-component theory for a spin 2 particle

Published:2024-08-07 Issue:5 Volume:0 Page:46-57
ISSN:1994-5655
Container-title:Proceedings of the Komi Science Centre of the Ural Division of the Russian Academy of Sciences
language:en
Short-container-title:

Author:

Ivashkevich A.¹,Buryy A.¹,Ovsiyuk E.²,Kisel' V.³,Red'kov V.¹

Affiliation:

1. B.I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus

2. Mozyr State Pedagogical University named after I.P. Shamyakin

3. 3Belarusian State University of Informatics and Radioelectronics

Abstract

The goal of the present paper is investigation of the nonrelativistic approximation in the 39-component theory for a spin 2 particle. We apply explicit expressions for four main matrices Γa with dimension 39×39 in the relevant first-order system of equations, written in Cartesian coordinates and in presence of external electromagnetic fields. For distinguishing the large and small constituents in the complete wave function, we apply three projective operators constructed on the base of the minimal polynomial of the 7-th order for the matrix Γ0. The relevant large and small components are found in explicit form. In each group, we have found independent variables; in particular, among the large components there exist only five independent ones. We have derived the nonrelativistic equation for 5-component wave function; it has the term describing interaction of the magnetic moment of the spin 2 particle with the external magnetic field we distinguished. This additional term is constructed by the projections of spin operator Si and the components of the magnetic field Bi.

Publisher

Komi SC UB RAS

Reference14 articles.

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