Bound states of the two-dimensional Dirac equation for an energy-dependent hyperbolic Scarf potential

Axel Schulze-Halberg, Pinaki Roy
2017 Journal of Mathematical Physics  
We study the two-dimensional massless Dirac equation for a potential that is allowed to depend on the energy and on one of the spatial variables. After determining a modified orthogonality relation and norm for such systems, we present an application involving an energy-dependent version of the hyperbolic Scarf potential. We construct closed-form bound state solutions of the associated Dirac equation.
doi:10.1063/1.5001797 fatcat:inqnkld3hvemhhyid77jisq3em