Hamiltonian Zoo for systems with one degree of freedom
Mathematical Physics
2020-01-07 v5 math.MP
Abstract
We present alternative explicit forms of the standard Hamiltonian for systems with one degree of freedom. This new class of infinite Hamiltonians is called Newton-equivalent Hamiltonian zoo, producing the same equation of motion. These Hamiltonians are directly solved from the Hamilton's equations and come with extra-parameters, which are interpreted as scaling factors for the time evolution on phase space. Moreover, each Hamiltonian in the zoo can be used as a generating function for a Hamiltonian hierarchy.
Keywords
Cite
@article{arxiv.1802.06370,
title = {Hamiltonian Zoo for systems with one degree of freedom},
author = {Saksilpa Srisukson and Kittapat Ratanaphupha and Sikarin Yoo-Kong},
journal= {arXiv preprint arXiv:1802.06370},
year = {2020}
}
Comments
This paper has been withdrawn by the author due to a crucial explanation error of redundancy