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Darboux partners of Heun-class potentials for the two-dimensional massless Dirac equation

arXiv

Authors: A. Schulze-Halberg, A. M. Ishkhanyan

Year

2020

Paper ID

19343

Status

Preprint

Abstract Read

~2 min

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Abstract

We apply the Darboux transformation to construct new exactly-solvable cases of the two-dimensional massless Dirac equation for potential classes of Lambert-W and inverse exponential type. Both of these classes originate from the Heun equation. Conditions are devised for transformed potentials to be real-valued, and to be in terms of elementary functions.

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We apply the Darboux transformation to construct new exactly-solvable cases of the two-dimensional massless Dirac equation for potential classes of Lambert-W and inverse...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2011.06936 [2] arXiv https://arxiv.org/abs/2011.06936 [3] Publisher https://arxiv.org/abs/2011.06936

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