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Darboux partners of Heun-class potentials for the two-dimensional massless Dirac equation
Annals of Physics ( IF 3 ) Pub Date : 2020-10-01 , DOI: 10.1016/j.aop.2020.168273
Axel Schulze-Halberg , Artur M. Ishkhanyan

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.

中文翻译:

二维无质量狄拉克方程的 Heun 级势的 Darboux 伙伴

摘要 我们应用 Darboux 变换为 Lambert-W 和逆指数类型的潜在类构造二维无质量狄拉克方程的新的可精确解的情况。这两个类都源自 Heun 方程。为转换势设计为实值的条件,并根据初等函数。
更新日期:2020-10-01
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