  With the use of the general covariant matrix 10-dimensional
Petiau-Duffin-Kemmer formalism in cylindrical coordinates exact solutions of
the quantum-mechanical equation for a particle with spin 1 in the presence of
an external homogeneous magnetic field are constructed. Three linearly
independent types of solutions are separated; in each case the formula for the
energy levels has been found.Within similar technique for the
quantum-mechanical equation for a particle with spin 1 and additional intrinsic
electromagnetic characteristics - polarizability, exact solutions are found in
the presence of an external homogeneous magnetic field.
