An Interdisciplinary Journal

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

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
Ψ_{0},Ψ_{+},Ψ_{-}. It is enough to solve an equation for the main component Φ_{0}, 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.

Full text: Acrobat PDF (2501 KB)

Copyright © Nonlinear Phenomena in Complex Systems.
Last updated: *April 23, 2018*