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A Lagrangian theory of the classical spinning electron. (English) Zbl 0586.70005

A Lagrangian is defined that governs the dynamics of a classical electron with spin, moving under the influence of electromagnetic forces. The Euler-Lagrange equations associated with this Lagrangian for space-time position \(x^{\alpha}\) provide a generalization of the Lorentz force law. The remaining Euler-Lagrange equations lead directly to the (generalized) Frenkel-Thomas-BMT equations.

MSC:

70F99 Dynamics of a system of particles, including celestial mechanics
78A35 Motion of charged particles
83A05 Special relativity
35Q99 Partial differential equations of mathematical physics and other areas of application
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[1] DOI: 10.1007/BF01397099 · doi:10.1007/BF01397099
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