Recursive properties of Dirac and Metriplectic Dirac brackets with Applications
Mathematical Physics
2009-02-09 v1 math.MP
Classical Physics
Computational Physics
Abstract
In this article, we prove that Dirac brackets for Hamiltonian and non-Hamiltonian constrained systems can be derived recursively. We then study the applicability of that formulation in analysis of some interesting physical models. Particular attention is paid to the feasibility of implementation code for Dirac brackets in Computer Algebra System and analytical techniques for inversion of triangular matrices.
Keywords
Cite
@article{arxiv.0902.1032,
title = {Recursive properties of Dirac and Metriplectic Dirac brackets with Applications},
author = {Sonnet Q H Nguyen and Lukasz A Turski},
journal= {arXiv preprint arXiv:0902.1032},
year = {2009}
}
Comments
29 pages, Latex. Extended version of the article in Physica A