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 is invariant under non-Abelian group of local symmetries. On this reason, all the initial spin variables turn out to be unobservable quantities. As the gauge-invariant variables for description of spin we can take either the Frenkel tensor or the Bargmann-Michel-Telegdi (BMT) vector. Fixation of spin within the classical theory implies O(h)-corrections to the corresponding equations of motion.

Original language	English
Article number	1250234
Journal	Modern Physics Letters A
Volume	28
Issue number	1
DOIs	https://doi.org/10.1142/S0217732312502343
Publication status	Published - 10 Jan 2013

Keywords

Bargmann-Michel-Telegdi equation
Frenkel equation
Semiclassical description of relativistic spin
Theories with constraints

ASJC Scopus subject areas

Nuclear and High Energy Physics
Astronomy and Astrophysics

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abstract = "We propose Lagrangian formulation for the particle with value of spin fixed within the classical theory. The Lagrangian is invariant under non-Abelian group of local symmetries. On this reason, all the initial spin variables turn out to be unobservable quantities. As the gauge-invariant variables for description of spin we can take either the Frenkel tensor or the Bargmann-Michel-Telegdi (BMT) vector. Fixation of spin within the classical theory implies O(h)-corrections to the corresponding equations of motion.",

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AB - We propose Lagrangian formulation for the particle with value of spin fixed within the classical theory. The Lagrangian is invariant under non-Abelian group of local symmetries. On this reason, all the initial spin variables turn out to be unobservable quantities. As the gauge-invariant variables for description of spin we can take either the Frenkel tensor or the Bargmann-Michel-Telegdi (BMT) vector. Fixation of spin within the classical theory implies O(h)-corrections to the corresponding equations of motion.

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KW - Semiclassical description of relativistic spin

KW - Theories with constraints

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