ar X iv : 0 81 2 . 46 59 v 1 [ he p - th ] 2 6 D ec 2 00 8
نویسندگان
چکیده
We systematically formulate a hierarchy of isospectral Hamiltonians in onedimensional 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. ∗ e-mail:[email protected] † e-mail:[email protected] e-mail:[email protected] § e-mail:[email protected] ¶ e-mail:[email protected]
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