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arXiv 2011.06936quant-ph
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二维无质量Dirac方程Heun类势的Darboux伙伴

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

A. Schulze-Halberg, A. M. Ishkhanyan

摘要:

本文应用达布变换构造了二维Lambert-W势类和反指数型势类的无质量Dirac方程的新的精确可解情形。这两个类都起源于Heun方程。条件被设计为变换的潜力是实值的,并在初等函数。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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