Algebraic Approach to Shape Invariance
Quantum Physics
2009-10-30 v1
Abstract
The integrability condition called shape invariance is shown to have an underlying algebraic structure and the associated Lie algebras are identified. These shape-invariance algebras transform the parameters of the potentials such as strength and range. Shape-invariance algebras, in general, are shown to be infinite-dimensional. The conditions under which they become finite-dimensional are explored.
Cite
@article{arxiv.quant-ph/9712018,
title = {Algebraic Approach to Shape Invariance},
author = {A. B. Balantekin},
journal= {arXiv preprint arXiv:quant-ph/9712018},
year = {2009}
}
Comments
Submitted to Physical Review A. Latex file, 9 pages. Manuscript is also available at http://nucth.physics.wisc.edu/preprints/