We continue our solution of the inverse problem started by the first author in [Int. J. Mod. Phys. A 35, 2050104 (2020)]. Additional potential functions for exactly solvable problems that correspond to the same energy spectrum formula but for different energy polynomials and bases are found. In this work, we obtain a class of potential functions associated with the Wilson polynomial and “Jacobi basis.”

中文翻译：

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与给定能谱相关的势函数的构造——反问题 II

我们继续解决第一作者在 [Int. J.国防部。物理。A 35, 2050104 (2020)]。找到了对应于相同能谱公式但不同能量多项式和基的精确可解问题的附加势函数。在这项工作中，我们获得了与威尔逊多项式和“雅可比基”相关的一类势函数。