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

Article Type

Research Article

Publication Title

Journal of Mathematical Physics

Abstract

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

Publication Date

11-1-2017

Comments

Open Access, Green

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