Vector particle with anomalous magnetic moment in an external uniform electric field

In the paper, spin 1 particle with an anomalous magnetic moment is examined in presence of an external uniform electric field. The generalized ten-dimensional Duffin-Kemmer equation is specified in Cartesian coordinates (t, x, y, z) . On its solutions there are diagonalized operators of energy and linear momentums Px and Py. The external electric field is oriented along the axes z. The system of ten differential equations in the variable z is derived. With the use of the generator j03 for ten-component field we introduce three projective operators which permit us to divide the complete ten-component wave function into three projective constituents. One of them is taken as the primary constituent, it depends on four functions; the two remaining projective constituents are defined by the primary one. For these four functions we derive one linear constraint and the system of second order equations for three functions. This system after linear transformation is reduced to three separated equations for three new variables. Their solutions are constructed in terms of confluent hypergeometric functions. Properties of the obtained solutions are studied.