2014/06/30 by Alexei A. Deriglazov · 2 citations
Mathematics · Physics and Astronomy · #Action (physics) #Classical mechanics #Degrees of freedom (physics and chemistry) #Electromagnetic field #Electron #Experimental and Theoretical Physics Studies #Generalization #Lagrangian #Mathematical analysis #Mathematical physics #Mathematics #Mathematics and Applications #Physics #Quantum and Classical Electrodynamics #Quantum electrodynamics #Quantum mechanics #Singularity #Spinning #Variable (mathematics) #hep-th #math-ph #math.MP #physics.gen-ph #quant-ph
paper · pdf · doi:10.1016/j.physletb.2014.07.029
published as Phys. Lett. B 736 (2014) 278-282 · 8 pages, close to published version: paragraph about ultra-relativistic motion is extended, the detailed discussion of this point is presented in arXiv:1409.4756
openalex publication_date 2014/07/23 · arxiv created 2014/10/11 · arxiv updated 2014/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We found Lagrangian action which describes spinning particle on the base of non-Grassmann vector and involves only one auxiliary variable. It provides the right number of physical degrees of freedom and yields generalization of the Frenkel and BMT equations to the case of an arbitrary electromagnetic field. For a particle with anomalous magnetic moment, singularity in the relativistic equations generally occurs at the speed different from the speed of light.