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There are constructed exact solutions of the quantum-mechanical equation fora spin S=1 particle in 2-dimensional Riemannian space of constant negativecurvature, hyperbolic plane, in presence of an external magnetic field,analogue of the homogeneous magnetic field in the Minkowski space. Ageneralized formula for energy levels describing quantization of the motion ofthe vector particle in magnetic field on the 2-dimensional space H_{2} has beenfound, nonrelativistic and relativistic equations have been solved.

Particle with spin 1 in a magnetic field on the hyperbolic plane H_{2}