Plane rotations and Hamilton-Dirac mechanics
Paal, Eugen ; Virkepu, Jyri
arXiv, 0506004 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-06-01
Classification:  Mathematical Physics,  22E70 
@article{0506004,
     author = {Paal, Eugen and Virkepu, Jyri},
     title = {Plane rotations and Hamilton-Dirac mechanics},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0506004}
}

Paal, Eugen; Virkepu, Jyri. Plane rotations and Hamilton-Dirac mechanics. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0506004/