Factorizations of one dimensional classical systems
Classical Physics
2009-11-13 v1 General Physics
Abstract
A class of one dimensional classical systems is characterized from an algebraic point of view. The Hamiltonians of these systems are factorized in terms of two functions that together with the Hamiltonian itself close a Poisson algebra. These two functions lead directly to two time-dependent integrals of motion from which the phase motions are derived algebraically. The systems so obtained constitute the classical analogues of the well known factorizable one dimensional quantum mechanical systems.
Cite
@article{arxiv.0709.4649,
title = {Factorizations of one dimensional classical systems},
author = {S. Kuru and J. Negro},
journal= {arXiv preprint arXiv:0709.4649},
year = {2009}
}
Comments
19 pages, 7 figures