Mapping of non-central potentials under point canonical transformations
Quantum Physics
2009-11-07 v1 Mathematical Physics
math.MP
Abstract
Motivated by the observation that all known exactly solvable shape invariant central potentials are inter-related via point canonical transformations, we develop an algebraic framework to show that a similar mapping procedure is also exist between a class of non-central potentials. As an illustrative example, we discuss the inter-relation between the generalized Coulomb and oscillator systems.
Cite
@article{arxiv.quant-ph/0211132,
title = {Mapping of non-central potentials under point canonical transformations},
author = {Mehmet Kocak and Ilker Zorba and Bulent Gonul},
journal= {arXiv preprint arXiv:quant-ph/0211132},
year = {2009}
}
Comments
11 pages article in LaTEX (uses standard article.sty). Please check http://www1.gantep.edu.tr/~gonul for other studies of Nuclear Physics Group at University of Gaziantep