Kinematics of semiclassical spin and spin fiber bundle associated with so(n) Lie-Poisson manifold

A. A. Deriglazov

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Abstract

We describe geometric construction underlying the Lagrangian actions for non-Grassmann spinning particles proposed in our recent works. If we discard the spatial variables (the case of frozen spin), the problem reduces to formulation of a variational problem for Hamiltonian system on a manifold with so(n) Lie-Poisson bracket. To achieve this, we identify dynamical variables of the problem with coordinates of the base of a properly constructed fiber bundle. In turn, the fiber bundle is embedded as a surface into the phase space equipped with canonical Poisson bracket. This allows us to formulate the variational problem using the standard methods of Dirac theory for constrained systems.

Original languageEnglish
Article number012011
JournalJournal of Physics: Conference Series
Volume411
Issue number1
DOIs
Publication statusPublished - 2013
Externally publishedYes

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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