Plane rotations and Hamilton-Dirac mechanics
Mathematical Physics
2015-06-26 v1 math.MP
Abstract
Canonical formalism for SO(2) 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. It is shown that the constraints satisfy CCR. Consistency of the constraints is checked.
Cite
@article{arxiv.math-ph/0506004,
title = {Plane rotations and Hamilton-Dirac mechanics},
author = {Eugen Paal and Jyri Virkepu},
journal= {arXiv preprint arXiv:math-ph/0506004},
year = {2015}
}
Comments
8 pages, LaTeX2e