The partnership of potentials in Quantum Mechanics and Shape Invariance
Mathematical Physics
2016-09-07 v1 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
The concept of partnership of potentials is studied in detail and in particular the non-uniqueness due to the ambiguity in the election of the factorization energy and in the choice of the solution of certain Riccati equation. We generate new factorizations from old ones using invariance under parameter transformations. The theory is illustrated with some examples.
Keywords
Cite
@article{arxiv.math-ph/0006009,
title = {The partnership of potentials in Quantum Mechanics and Shape Invariance},
author = {Jose F. Carinena and Arturo Ramos},
journal= {arXiv preprint arXiv:math-ph/0006009},
year = {2016}
}
Comments
10 pages, LaTeX, to appear in Modern Physics Letters A