Abstract
We describe the procedure for obtaining Hamiltonian equations on a manifold with so(k, m) Lie-Poisson bracket from a variational problem. This implies identification of the manifold with base of a properly constructed fiber bundle embedded as a surface into the phase space with canonical Poisson bracket. Our geometric construction underlies the formalism used for construction of spinning particles in [A. A. Deriglazov, Mod. Phys. Lett. A 28, 1250234 (2013); Ann. Phys. 327, 398 (2012); Phys. Lett. A 376, 309 (2012)], and gives precise mathematical formulation of the oldest idea about spin as the "inner angular momentum".
Original language | English |
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Article number | 1450048 |
Journal | Modern Physics Letters A |
Volume | 29 |
Issue number | 10 |
DOIs | |
Publication status | Published - 1 Jan 2014 |
Keywords
- semiclassical models of spin
- Theories with Dirac constraints
- variational formulation on Lie-Poisson mani-folds
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Astronomy and Astrophysics