Plane rotations and Hamilton-Dirac mechanics
arXiv:math-ph/0506004 · doi:10.1007/s10582-006-0032-7
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.
8 pages, LaTeX2e