Recursive properties of Dirac and Metriplectic Dirac brackets with Applications

Details Recursive properties of Dirac and Metriplectic Dirac brackets with Applications Recursive properties of Dirac and Metriplectic Dirac brackets with Applications

2009-02-06

arxiv.org/abs/0902.1032v1

Physica A 388, 91-103, (2009)

Physics

Mathematical Physics

29 pages, Latex. Extended version of the article in Physica A

Scientific paper

10.1016/j.physa.2008.09.026

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.

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