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.