Nonlinear Phenomena in Complex Systems, 2025, Vol.28, No.1, pp.41

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2025, Vol.28, No.1, pp.41 - 63

Spin 1 Particle with Two Additional Electromagnetic Characteristics in the Presence of a Uniform Electric Field

A. V. Ivashkevich, A. M. Kuzmich, P. O. Sachenok, and E. M. Ovsiyuk

In the paper, we study a generalized Duffin – Kemmer equation for spin 1 particle with two characteristics, anomalous magnetic moment and polarizability in the presence of an external uniform electric field. This approach is extended to space-time models with a pseudo- Riemannian structure, within the tetrad method. We specify the basic equations to the cylindrical coordinates, after separating the variables, we get the system of 10 first order partial differential equations for 10 functions f_i(r,z). To describe the r-dependence of these functions, we apply the method by Fedorov – Gronskiy; in this approach, the complete 10-component wave function is decomposed into the sum of three projective constituents, dependence of each component on the polar coordinate is determined by the only functions F_i(r), i = 1, 2, 3 the last are constructed in terms of the Bessel functions. After that we derive a system of 10 ordinary differential equations for 10 functions f_A(z). This system is solved with the use of eliminating method and of special linear combining of the involved functions; as a result we find three independent solutions for the last system. The types of solutions for a vector particle with two additional electromagnetic characteristics in the presence of an external uniform electric field are investigated.

Key words: spin 1 particle, anomalous magnetic moment, polarizability, external electric field, tetrad formalism, cylindrical symmetry, equations in partial derivatives, exact solutions

DOI: https://doi.org/10.5281/zenodo.15081353

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