The Hamilton--Jacobi theory for contact Hamiltonian systems
Mathematical Physics
2021-07-06 v2 math.MP
Abstract
The aim of this paper is to develop a Hamilton--Jacobi theory for contact Hamiltonian systems. We find several forms for a suitable Hamilton-Jacobi equation accordingly to the Hamiltonian and the evolution vector fields for a given Hamiltonian function. We also analyze the corresponding formulation on the symplectification of the contact Hamiltonian system, and establish the relations between these two approaches. In the last section, some examples are discussed.
Keywords
Cite
@article{arxiv.2103.17017,
title = {The Hamilton--Jacobi theory for contact Hamiltonian systems},
author = {Manuel de León and Manuel Laínz and Álvaro Muñiz--Brea},
journal= {arXiv preprint arXiv:2103.17017},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2011.05579