Bound states of the two-dimensional Dirac equation for an energy-dependent hyperbolic Scarf potential
Quantum Physics
2018-01-17 v1 Other Condensed Matter
High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1711.03462,
title = {Bound states of the two-dimensional Dirac equation for an energy-dependent hyperbolic Scarf potential},
author = {A. Schulze-Halberg and P. Roy},
journal= {arXiv preprint arXiv:1711.03462},
year = {2018}
}