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Quantum-mechanical wave equation for a particle with spin 1 is investigatedin presence of external magnetic field in spaces with non-Euclidean geometrywith constant positive curvature. Separation of the variable is performed;differential equations in the variable r are solved in hypergeometricfunctions. T he study o f z-dependence of the wave function has been reduced toa system of three linked ordinary differential 2-nd order equations; till nowthe system in z variable is not solved.

Quantum mechanics for a vector particle in the magnetic field on 4-dimensional sphere