Pseudo Hermitian interactions in the Dirac Equation

Abstract

We consider $(2+1)$ 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 $\eta$-pseudo Hermitian. Some examples have been explicitly worked out.

8 pages, NO figures

References in corpus (4)

• Electric Field Effect in Atomically Thin Carbon Films
• Magnetic confinement of massless Dirac fermions in graphene
• Multiple magnetic barriers in graphene
• Armchair graphene nanoribbons: PT-symmetry breaking and exceptional points without dissipation

Cited by in corpus (1)

• Dirac equation with complex potentials