Основан в 1907 году
в России и за рубежом
We consider a non-Hermitian fermionic model with the γ5-extension of mass: m → m1 + γ5m2. We establish the relation between this theory and a geometric theory with the maximum mass in the quantum mechanical approximation. We propose a more detailed condition of PT-symmetry preservation
in the theory. It implies segregating the initial domain of PT-symmetry preservation into subdomains corresponding to descriptions of standard and exotic particles. We calculate the operator C in the new scalar product in such a theory with a non-Hermitian Hamiltonian and describe some consequences of
introducing this operator. We find the eigenvalues and eigenvectors of this Hamiltonian.