Exact solutions for a quantum-mechanical particle with spin 1 and   additional intrinsic characteristics in a homogeneous magnetic field
  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. 
V.V. Kisel, E.M. Ovsiyuk, V.M. Red'kov, N.G. Tokarevskaya
quant-ph math-ph math.MP