Abstract
Recently, models for a spin 1/2 particle with two (or three)
 mass parameters were developed. Specific features of
 these models are as follows. For corresponding two (or
 three) bispinors in absence of external fields, separate Diraclike
 equations are derived, they differ in masses. However,
 in presence of external electromagnetic or gravitational
 fields with non-vanishing Ricci scalar, the wave equation for
 bispinors does not split into separated equations but makes
 quite a definite mixing of two (or three) equations arises. In
 the present paper, the model of a fermion with three mass parameters
 is studied in presence of the external uniform magnetics
 field. After performing a diagonalizing transformation,
 three separate equations are obtained for particles with different
 anomalous magnetic moments. Their exact solutions
 and generalized energy spectra are found
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