Hierarchy of QM SUSYs on a bounded domain
Hierarchy of QM SUSYs on a bounded domain
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DOI：
10.1088/1751-8113/42/26/265203
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发表时间：
2008-12
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影响因子：
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通讯作者：
Tomoaki Nagasawa;S. Ohya;Kazuki Sakamoto;M. Sakamoto;Kosuke Sekiya
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文献类型：
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作者：
Tomoaki Nagasawa;S. Ohya;Kazuki Sakamoto;M. Sakamoto;Kosuke Sekiya
我们系统地建立了一维超对称量子力学中两个连续的哈密顿量形成超对称性的区间上和圆周上的等谱哈密顿算子族。我们发现，与超对称性相容的边界条件受到严格限制。在区间的情况下，具有唯一边界条件的最多三个等谱哈密顿量是可能的，而在圆的情况下，可以利用两参数边界条件族来构造无限多个等谱哈密顿量的塔。
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 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 a two-parameter family of boundary conditions.