Classical ladder functions for Rosen-Morse and curved Kepler-Coulomb systems
Mathematical Physics
2019-05-01 v1 math.MP
Classical Physics
Abstract
Ladder functions in classical mechanics are defined in a similar way as ladder operators in the context of quantum mechanics. In the present paper, we develop a new method for obtaining ladder functions of one dimensional systems by means of a product of two `factor functions'. We apply this method to the curved Kepler-Coulomb and Rosen-Morse II systems whose ladder functions were not found yet. The ladder functions here obtained are applied to get the motion of the system.
Keywords
Cite
@article{arxiv.1812.11582,
title = {Classical ladder functions for Rosen-Morse and curved Kepler-Coulomb systems},
author = {L. Delisle-Doray and V. Hussin and S. Kuru and J. Negro},
journal= {arXiv preprint arXiv:1812.11582},
year = {2019}
}
Comments
20 pages, 8 figures