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arXiv · 1711.03462

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

A. Schulze-Halberg·P. Roy
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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.

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A. Schulze-Halberg, P. Roy. 2017-11-09. Bound states of the two-dimensional Dirac equation for an energy-dependent hyperbolic Scarf potential. https://doi.org/10.1063/1.5001797

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