Variational problem for the Frenkel and the Bargmann-Michel-Telegdi (BMT) equations

Details Variational problem for the Frenkel and the Bargmann-Michel-Telegdi (BMT) equations Variational problem for the Frenkel and the Bargmann-Michel-Telegdi (BMT) equations

2012-04-11

arxiv.org/abs/1204.2494v2

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, misprints corrected

Scientific paper

We propose Lagrangian formulation for the particle with value of spin fixed within the classical theory. The Lagrangian turns out to be invariant under non-abelian group of local symmetries. As the gauge-invariant variables for description of spin we can take either the Frenkel tensor or the BMT vector. Fixation of spin within the classical theory implies $O(\hbar)$\,-corrections to the corresponding equations of motion.

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