Nonlinear Phenomena in Complex Systems, 2018, Vol.21, No.1, pp.1

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2018, Vol.21, No.1, pp.1 - 20

Spin 1 Particle with Anomalous Magnetic Moment in an External Uniform Electric Field
E. M. Ovsiyuk, Ya. A. Voynova, V. V. Kisel, V. Balan, and V. M. Red’kov

Within the matrix 10-dimensional Duffin–Kemmer–Petiau formalism applied to the Shamaly–Capri field, we study the behavior of a vector particle with anomalous magnetic moment in the presence of an external uniform electric field. Separation of variables in the wave equation is performed using projective operator techniques and the theory of DKP-algebras. The whole wave function is decomposed into the sum of three components Ψ₀,Ψ₊,Ψ_-. It is enough to solve an equation for the main component Φ₀, two remaining ones are determined by it uniquely, The problem is reduced to a system of three independent differential equations for three functions, which are of the type of onedimensional Klein–Fock–Gordon equation in the presence of a uniform electric field modified by the anomalous magnetic moment of the particle. Solutions are constructed in terms of confluent hypergeometric functions. For assigning physical sense for the solutions, one should impose special restriction on a parameter related to the anomalous moment of the particle. The neutral spin 1 particle is considered as well. In this case, the main manifestation of the anomalous magnetic moment consists in modification of the ordinary plane wave solution along the electric field direction. Again one have to impose special restriction on the parameter related to the anomalous moment of the particle.

Key words: Duffin–Kemmer–Petiau algebra, projective operators, spin 1 particle; anomalous magnetic moment; electric field; exact solutions.

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