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. (authors)