Quantum mechanics for a vector particle in the magnetic field on   4-dimensional sphere
  Quantum-mechanical wave equation for a particle with spin 1 is investigated in presence of external magnetic field in spaces with non-Euclidean geometry with constant positive curvature. Separation of the variable is performed; differential equations in the variable r are solved in hypergeometric functions. T he study o f z-dependence of the wave function has been reduced to a system of three linked ordinary differential 2-nd order equations; till now the system in z variable is not solved. 
V. V. Kisel, E. M. Ovsiyuk, O. V. Veko, V. M. Red'kov
math-ph hep-th math.MP quant-ph