Exact solutions for non-Hermitian Dirac-Pauli equation in an intensive magnetic field

Abstract

We consider modified Dirac–Pauli equations that are entered using -mass factorization, , of an ordinary Klein–Gordon operator. We also consider the interaction of fermions with an intensive uniform magnetic field, focusing on their gyromagnetic factor. Due to effective research procedures, we derive the exact solutions of the enregy spectra of pseudo-Hermitian Hamiltonians, taking into account the spin of the fermions. The basic research methods are the elucidation of the new border areas of the unbroken symmetry of non-Hermitian Hamiltonians. In particular, it is shown that the reality energy spectrum of fermions at rest can be expressed by limiting the intensity of the magnetic field, where is an anomalous magnetic moment of particles.