Non-Hermitian \cal PT-Symmetric Dirac-Pauli Hamiltonians with Real Energy Eigenvalues in the Magnetic Field

2014/09/18 by V. N. Rodionov
Mathematics · Physics and Astronomy · #hep-ph #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1007/s10773-014-2410-4

19 pages, 5 figures, PHHQP2014. arXiv admin note: substantial text overlap with arXiv:1406.0383, arXiv:1404.0503

arxiv created 2014/09/18 · arxiv updated 2015/06/22

Abstract

The modified Dirac-Pauli equations, which is entered by means of γ₅-mass extension of Hamiltonian operators, are considered. We also take into account the interaction of fermions with the intensive homogenous magnetic field focusing attention on (g-2) gyromagnetic factor of particles with spin 1/2. Without the use of perturbation theory in the external field the exact energy spectra are deduced with regard to spin effects of fermions. We discuss the possible proposals of experimental measuring of properties of new particles which arising in this model.

Citations

• Exact Solutions for Non-Hermitian Dirac-Pauli Equation in an intensive magnetic field
• Non-Hermitian \cal PT-symmetric relativistic Quantum mechanics with a maximal mass in an external magnetic field