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

Abstract

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 $O(\hslash )$-corrections to the corresponding equations of motion.

04 pages, notations changed, misprints corrected

References in corpus (7)

• Equivalence principle and experimental tests of gravitational spin effects
• Spinning-particle model for the Dirac equation and the relativistic Zitterbewegung
• Improved extended Hamiltonian and search for local symmetries
• Semiclassical Description of Relativistic Spin without use of Grassmann variables and the Dirac equation
• Classical-mechanical models without observable trajectories and the Dirac electron
• Reconstruction of higher stage first class constraints into the secondary ones
• On The Relativistic Classical Motion of a Radiating Spinning Particle in a Magnetic Field

Cited by in corpus (8)

• Lagrangian for Frenkel electron and position's non-commutativity due to spin
• Frenkel electron on an arbitrary electromagnetic background and magnetic Zitterbewegung
• Relativistic corrections to the algebra of position variables and spin-orbital interaction
• Frenkel electron and a spinning body in a curved background
• Lagrangian for the Frenkel electron
• World-line geometry probed by fast spinning particle
• Interaction Vertex for Classical Spinning Particles
• Variational problem for Hamiltonian system on so(k, m) Lie-Poisson manifold and dynamics of semiclassical spin