Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System
Mathematical Physics
2015-11-25 v2 math.MP
Abstract
The coupling-constant metamorphosis is applied to modified extended Hamiltonians and sufficient conditions are found in order that the transformed high-degree first integral of the transformed Hamiltonian is determined by the same algorithm which computes the corresponding first integral of the original extended Hamiltonian. As examples, we consider the Post-Winternitz system and the 2D caged anisotropic oscillator.
Keywords
Cite
@article{arxiv.1509.07288,
title = {Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System},
author = {Claudia Maria Chanu and Luca Degiovanni and Giovanni Rastelli},
journal= {arXiv preprint arXiv:1509.07288},
year = {2015}
}