Algebraic Nature of Shape-Invariant and Self-Similar Potentials
Quantum Physics
2008-11-26 v1 Nuclear Theory
Abstract
Self-similar potentials generalize the concept of shape-invariance which was originally introduced to explore exactly-solvable potentials in quantum mechanics. In this article it is shown that previously introduced algebraic approach to the latter can be generalized to the former. The infinite Lie algebras introduced in this context are shown to be closely related to the q-algebras. The associated coherent states are investigated.
Cite
@article{arxiv.quant-ph/9811061,
title = {Algebraic Nature of Shape-Invariant and Self-Similar Potentials},
author = {A. B. Balantekin and M. A. Candido Ribeiro and A. N. F. Aleixo},
journal= {arXiv preprint arXiv:quant-ph/9811061},
year = {2008}
}
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8 pages