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Open Quantum Systems Decoherence

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

arXiv

Authors: A. Schulze-Halberg, P. Roy

Year

2017

Paper ID

25200

Status

Preprint

Abstract Read

~2 min

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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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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.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1711.03462 [2] arXiv https://arxiv.org/abs/1711.03462 [3] Publisher https://arxiv.org/abs/1711.03462

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