Hidden supersymmetry in quantum bosonic systems
High Energy Physics - Theory
2008-11-26 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Nuclear Theory
Quantum Physics
Abstract
We show that some simple well studied quantum mechanical systems without fermion (spin) degrees of freedom display, surprisingly, a hidden supersymmetry. The list includes the bound state Aharonov-Bohm, the Dirac delta and the Poschl-Teller potential problems, in which the unbroken and broken N=2 supersymmetry of linear and nonlinear (polynomial) forms is revealed.
Cite
@article{arxiv.hep-th/0605104,
title = {Hidden supersymmetry in quantum bosonic systems},
author = {Francisco Correa and Mikhail S. Plyushchay},
journal= {arXiv preprint arXiv:hep-th/0605104},
year = {2008}
}
Comments
4 pages; refs and comments added, to appear in Ann. Phys