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

• URL: http://arxiv.org/abs/2011.06936v1
• Date: Thu, 12 Nov 2020 15:28:45 GMT
• Title: Darboux partners of Heun-class potentials for the two-dimensional massless Dirac equation
• Authors: A. Schulze-Halberg and A.M. Ishkhanyan
• Abstract summary: We construct new exactly-solvable cases of the two-dimensional massless Dirac equation for potential classes of Lambert-W and inverse exponential type.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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