Non-Hermitian CP-Symmetric Dirac Hamiltonians with Real Energy Eigenvalues

Abstract

We present a large class of non-Hermitian non-PT-symmetric two-component Dirac Hamiltoninas with real energy spectra. These Hamiltonians are invariant under the combined action of "charge" conjugation (two-component transpose) and space-parity. Examples are given from the two subclasses of these systems having localized and/or continuum states with real energies.

8 pages, 2 tables, 2 figures

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• Dirac equation with complex potentials
• Supersymmetric Analysis of the Dirac-Weyl Operator within PT Symmetry
• Non-hermitian Dirac Hamiltonian in the presence of local Fermi velocity