; j and m stand for quantum numbers
determining the square and
the third projection of the total
angular momentum of the vector particle. With the help of parity
operator, the radial 10-equation system is divided into two
subsystem of 4 and 6 equations that correspond to parity P=(-1)j+1 and P= (-1)j respectively. The system of 4
equation is reduced to a second order differential equation which
coincides with that arising in the case of a scalar particle in a
Coulomb potential. It is shown that the 6-equation system reduces
to two different second order differential equations for a "main"
function. One main equation reduces to a confluent
Heun equation and provides us with the energy spectrum. Another
main equation is a more complex one, and solutions for it remain
unknown.
Key words: quantum mechanics, spin 1 particle, bound states, Coulomb field
