Variational problem for Hamiltonian system on so(k, m)Lie-Poisson manifold and dynamics of semiclassical spin

A. A. Deriglazov

Research output: Contribution to journalArticle

5 Citations (Scopus)

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 languageEnglish
Article number1450048
JournalModern Physics Letters A
Volume29
Issue number10
DOIs
Publication statusPublished - 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

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