Hierarchy of QM SUSYs on a Bounded Domain
| Autor: | Satoshi Ohya, Makoto Sakamoto, Tomoaki Nagasawa, Kazuki Sakamoto, Kosuke Sekiya |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2008 |
| Předmět: |
Statistics and Probability
Physics High Energy Physics - Theory Pure mathematics Quantum Physics Hierarchy (mathematics) FOS: Physical sciences General Physics and Astronomy Statistical and Nonlinear Physics Supersymmetry Domain (mathematical analysis) Isospectral Nonlinear Sciences::Exactly Solvable and Integrable Systems High Energy Physics - Theory (hep-th) Modeling and Simulation Bounded function Interval (graph theory) Supersymmetric quantum mechanics Boundary value problem Quantum Physics (quant-ph) Mathematical Physics |
| 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. 15 pages, 3 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|