Hierarchy of QM SUSYs on a Bounded Domain
| Autor: | Nagasawa, Tomoaki, Ohya, Satoshi, Sakamoto, Kazuki, Sakamoto, Makoto, Sekiya, Kosuke |
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| Rok vydání: | 2008 |
| Předmět: | |
| Zdroj: | J.Phys.A42:265203,2009 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1751-8113/42/26/265203 |
| Popis: | 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. Comment: 15 pages, 3 figures |
| Databáze: | arXiv |
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