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

被引：2

作者：

Deriglazov, A. A. ^{[1
,2
]}

机构：

[1] Univ Fed Juiz de Fora, Dept Matemat, ICE, Juiz De Fora, MG, Brazil

[2] Tomsk Polytech Univ, Phys Math Lab, Tomsk 634050, Russia

来源：

MODERN PHYSICS LETTERS A | 2014年 / 29卷 / 10期

关键词：

Theories with Dirac constraints; variational formulation on Lie-Poisson manifolds; semiclassical models of spin; CLASSICAL MECHANICS; PARTICLE; SPACE;

D O I：

10.1142/S0217732314500485

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We describe the procedure for obtaining Hamiltonian equations on a in with so(k, in.) 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".

引用

页数：18

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