Hierarchy of QM SUSYs on a Bounded Domain
High Energy Physics - Theory
2009-06-25 v1 Quantum Physics
Abstract
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.
Cite
@article{arxiv.0812.4659,
title = {Hierarchy of QM SUSYs on a Bounded Domain},
author = {Tomoaki Nagasawa and Satoshi Ohya and Kazuki Sakamoto and Makoto Sakamoto and Kosuke Sekiya},
journal= {arXiv preprint arXiv:0812.4659},
year = {2009}
}
Comments
15 pages, 3 figures