An exact solution to the Dirac equation for a time dependent Hamiltonian in 1-1D space-time

Abstract

We find an exact solution to the Dirac equation in 1-1 dimensional space-time in the presence of a time-dependent potential which consists of a combination of electric, scalar, and pseudoscalar terms.

Five pages

References in corpus (4)

• Bound states by a pseudoscalar Coulomb potential in 1+1 dimensions
• Confinement of neutral fermions by a pseudoscalar double-step potential in (1+1) dimensions
• Scattering of neutral fermions by a pseudoscalar potential step in two-dimensional space-time
• Some new results concerning the vacuum in Dirac Hole Theory

Cited by in corpus (4)

• Current resonances in graphene with time dependent potential barriers
• Shortcuts to adiabaticity: Suppression of pair production in driven Dirac dynamics
• Time-rescaling of Dirac dynamics: shortcuts to adiabaticity in ion traps and Weyl semimetals
• Relating the solutions of the Dirac equation with a background electric potential to solutions with a background pseudoscalar potential