Minimal Length Uncertainty Relations and New Shape Invariant Models
Quantum Physics
2009-11-13 v1 High Energy Physics - Theory
Atomic Physics
Abstract
This paper identifies a new class of shape invariant models. These models are based on extensions of conventional quantum mechanics that satisfy a string-motivated minimal length uncertainty relation. An important feature of our construction is the pairing of operators that are not adjoints of each other. The results in this paper thus show the broader applicability of shape invariance to exactly solvable systems.
Cite
@article{arxiv.0707.1028,
title = {Minimal Length Uncertainty Relations and New Shape Invariant Models},
author = {Donald Spector},
journal= {arXiv preprint arXiv:0707.1028},
year = {2009}
}
Comments
11 pages, no figures