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Darboux partners of Heun-class potentials for the two-dimensional massless Dirac equation (2011.06936v1)
Published 12 Nov 2020 in quant-ph
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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