Pseudo Hermitian interactions in the Dirac Equation
arXiv:1404.4746 · doi:10.3390/sym6010103
Abstract
We consider dimensional massless Dirac equation in the presence of complex vector potentials. It is shown that such vector potentials (leading to complex magnetic fields) can produce bound states and the Dirac Hamiltonians are -pseudo Hermitian. Some examples have been explicitly worked out.
8 pages, NO figures
References in corpus (19)
- Electric Field Effect in Atomically Thin Carbon Films
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Localization transitions in non-Hermitian quantum mechanics
- Pseudo-Hermiticity versus PT-Symmetry III: Equivalence of pseudo-Her miticity and the presence of antilinear symmetries
- Edge states and topological phases in non-Hermitian systems
- Magnetic confinement of massless Dirac fermions in graphene
- PT-symmetry in honeycomb photonic lattices
- Optical realization of relativistic non-Hermitian quantum mechanics
- Multiple magnetic barriers in graphene
- Non-Hermitean Localization and De-Localization
- Pseudo-Hermiticity of Hamiltonians under imaginary shift of the co-ordinate : real spectrum of complex potentials
- Exceptional Point Dynamics in Photonic Honeycomb Lattices with PT Symmetry
- Graphene Dirac fermions in one-dimensional inhomogeneous field profiles: Transforming magnetic to electric field
- Classical Simulation of Relativistic Quantum Mechanics in Periodic Optical Structures
- Armchair graphene nanoribbons: PT-symmetry breaking and exceptional points without dissipation
- Exact solutions for a Dirac electron in an exponentially decaying magnetic field
- Magnetic field barriers in graphene: an analytically solvable model
- Pseudo-Hermitian Interactions in Dirac Theory: Examples