Abstract
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.
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