Journal of Nonlinear Mathematical Physics

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Volume 13, Issue Supplement, August 2006, Pages 37 - 43

SO(2) and Hamilton-Dirac mechanics

Authors
Cestmir Burdik, Eugen Paal, Juri Virkepu
Corresponding Author
Cestmir Burdik
Available Online 1 August 2006.
DOI
10.2991/jnmp.2006.13.s.5How to use a DOI?
Abstract

Canonical formalism for plane rotations is developed. This group can be seen as a toy model of the Hamilton-Dirac mechanics with constraints. The Lagrangian and Hamiltonian are explicitly constructed and their physical interpretation are given. The Euler-Lagrange and Hamiltonian canonical equations coincide with the Lie equations. Consistency of the constraints is checked.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
13 - Supplement
Pages
37 - 43
Publication Date
2006/08/01
ISBN
91-974824-6-3
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2006.13.s.5How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Cestmir Burdik
AU  - Eugen Paal
AU  - Juri Virkepu
PY  - 2006
DA  - 2006/08/01
TI  - SO(2) and Hamilton-Dirac mechanics
JO  - Journal of Nonlinear Mathematical Physics
SP  - 37
EP  - 43
VL  - 13
IS  - Supplement
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2006.13.s.5
DO  - 10.2991/jnmp.2006.13.s.5
ID  - Burdik2006
ER  -