Volume 13, Issue Supplement, August 2006, Pages 37 - 43
SO(2) and Hamilton-Dirac mechanics
Cestmir BURDIK, Eugen PAAL, Juri VIRKEPU
Available Online 1 August 2006.
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- 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.
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Cite this article
TY - JOUR AU - Cestmir BURDIK AU - Eugen PAAL AU - Juri VIRKEPU PY - 2006 DA - 2006/08 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 - https://doi.org/10.2991/jnmp.2006.13.s.5 ID - BURDIK2006 ER -