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Abstract
In paper within the model with a maximal mass M and with use of anti de Sitter space
is considered the Dirac equation properties for a fermion of mass m on the mass surface.
The paper shows that free Hamiltonian and Hamiltonian with interaction are pseudo-Hermitian.
If we accept the appropriate rules of use of pseudo-Hermitian Hamiltonians, we can
construct the consistent quantum theory with final results obtained using the ordinary
Dirac equation.