Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-12-26
J.Phys.A42:265203,2009
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, 3 figures
Scientific paper
10.1088/1751-8113/42/26/265203
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.
Nagasawa Tomoaki
Ohya Satoshi
Sakamoto Kazuki
Sakamoto Makoto
Sekiya Kosuke
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