Darboux partners of Heun-class potentials for the two-dimensional massless Dirac equation
arXiv:2011.06936 · doi:10.1016/j.aop.2020.168273
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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