The relativistic equations of a vector field in an external magnetic field are investigated. The known arbitrariness in choosing the Lagrangian of a vector field in an external electromagnetic field allows the phenomenological parameter k, characterizing the magnetic moment of the particle, to be introduced. The case k = 1 corresponds to the 1967 Winberg model. In the present work, accurate solutions of the vector equations are obtained both in the case k = 1 and for arbitrary k. The spin states of the particles are considered. An energy spectrum of a vector particle in a magnetic field agreeing with earlier known results is found.
Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
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