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.


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
Full Text: DOI


[1] DOI: 10.1007/BF01397099 · doi:10.1007/BF01397099
[2] DOI: 10.1080/14786440108564170 · doi:10.1080/14786440108564170
[3] DOI: 10.1098/rspa.1941.0055 · doi:10.1098/rspa.1941.0055
[4] DOI: 10.1051/jphysrad:0195400150206500 · Zbl 0055.22008 · doi:10.1051/jphysrad:0195400150206500
[5] DOI: 10.1016/0003-4916(74)90046-3 · doi:10.1016/0003-4916(74)90046-3
[6] DOI: 10.1063/1.523222 · doi:10.1063/1.523222
[7] DOI: 10.1007/BF02822638 · doi:10.1007/BF02822638
[8] DOI: 10.1007/BF02859538 · Zbl 0082.41603 · doi:10.1007/BF02859538
[9] DOI: 10.1103/PhysRevLett.2.435 · doi:10.1103/PhysRevLett.2.435
[10] DOI: 10.1063/1.524551 · Zbl 0448.58007 · doi:10.1063/1.524551
[11] DOI: 10.1063/1.526141 · doi:10.1063/1.526141
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