超对称、精确可解、形状不变和Infeld-Hull可分解势的Venn图
A Venn diagram for supersymmetric, exactly solvable, shape invariant, and Infeld-Hull factorizable potentials
摘要：
超对称性、形状不变性、精确溶解度和因子分解方法在文献中经常一起研究。在提出这些专题之初，人们对其适用范围和它们之间的关系感到困惑。大量的工作已经投入到研究和解决这两个或两个以上的主题之间的关系。这些作品散见于文学作品中。虽然看文献，不能忽视作者混淆这些术语的地方的数量，并根据两个或两个以上这些主题之间的关系的错误假设得出结论。在这封信中，我们定义了超对称性，形状不变性，并显示它们之间的关系，连接到精确的溶解度和因式分解方法，参考文献的各自的详细工作和证明。最后，我们用一个文氏图来说明这些关系。
英文摘要：
Supersymmetry, shape invariance, exact solubility, and the factorization method are often studied together in the literature. At the dawn of these topics confusion was present in regards to their scope of applicability and the relation among them. Considerable work have been put to study and resolve the relation among two or more of these topics. These works are scattered over the literature. While looking at the literature, one can not overlook the number of places where authors confuse these terms, and concluding implications depending on wrong assumptions of the relation between two or more of these topics. In this letter we define supersymmetry, and shape invariance, and show the relations which connects them to exact solubility and the factorization method, referring to the literature for the respective detailed work and proofs. At last we conclude our letter with a Venn diagram which illustrates those relations.
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。
