有界域上QM超对称系统的层次
Hierarchy of QM SUSYs on a Bounded Domain
摘要：
在一维超对称量子力学中，系统地构造了区间上和圆上的等谱哈密顿算子族，其中两个连续的哈密顿算子构成N=2的超对称.我们发现与超对称相容的边界条件受到严格的限制。在区间的情况下，一个层次，最多，三个等谱哈密顿是可能的唯一的边界条件，而在一个圆的情况下，一个无限的塔的等谱哈密顿可以构造与两个参数的家庭的边界条件。
英文摘要：
We systematically formulate a hierarchy of isospectral Hamiltonians in one-dimensional supersymmetric quantum mechanics on an interval and on a circle, in which two successive Hamiltonians form N=2 supersymmetry. We find that boundary conditions compatible with supersymmetry are severely restricted. In the case of an interval, a hierarchy of, at most, three isospectral Hamiltonians is possible with unique boundary conditions, while in the case of a circle an infinite tower of isospectral Hamiltonians can be constructed with two-parameter family of boundary conditions.
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。
