Refined Factorizations of Solvable Potentials
Quantum Physics
2008-10-13 v1
Abstract
A generalization of the factorization technique is shown to be a powerful algebraic tool to discover further properties of a class of integrable systems in Quantum Mechanics. The method is applied in the study of radial oscillator, Morse and Coulomb potentials to obtain a wide set of raising and lowering operators, and to show clearly the connection that link these systems.
Cite
@article{arxiv.quant-ph/9910038,
title = {Refined Factorizations of Solvable Potentials},
author = {J. Negro and L. M. Nieto and O. Rosas-Ortiz},
journal= {arXiv preprint arXiv:quant-ph/9910038},
year = {2008}
}
Comments
11 pages, LaTeX file, no figures