Frenkel electron on an arbitrary electromagnetic background and magnetic Zitterbewegung

Alexei A. Deriglazov, Andrey M. Pupasov-Maksimov

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We present Lagrangian which implies both necessary constraints and dynamical equations for position and spin of relativistic spin one-half particle. The model is consistent for any value of magnetic moment μ and for arbitrary electromagnetic background. Our equations coincide with those of Frenkel in the approximation in which the latter have been obtained by Frenkel. Transition from approximate to exact equations yields two structural modifications of the theory. First, Frenkel condition on spin-tensor turns into the Pirani condition. Second, canonical momentum is no more proportional to velocity. Due to this, even when μ = 1 (Frenkel case), the complete and approximate equations predict different behavior of a particle. The difference between momentum and velocity means extra contribution to spin-orbit interaction. To estimate the contribution, we found exact solution to complete equations for the case of uniform magnetic field. While Frenkel electron moves around the circle, our particle experiences magnetic Zitterbewegung, that is oscillates in the direction of magnetic field with amplitude of order of Compton wavelength for the fast particle. Besides, the particle has dipole electric moment.

Original languageEnglish
Pages (from-to)1-24
Number of pages24
JournalNuclear Physics B
Volume885
Issue number1
DOIs
Publication statusPublished - 1 Jan 2014

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electromagnetism
electrons
momentum
electric moments
spin-orbit interactions
magnetic fields
dipole moments
magnetic moments
tensors
estimates
approximation
wavelengths

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Frenkel electron on an arbitrary electromagnetic background and magnetic Zitterbewegung. / Deriglazov, Alexei A.; Pupasov-Maksimov, Andrey M.

In: Nuclear Physics B, Vol. 885, No. 1, 01.01.2014, p. 1-24.

Research output: Contribution to journalArticle

Deriglazov, Alexei A. ; Pupasov-Maksimov, Andrey M. / Frenkel electron on an arbitrary electromagnetic background and magnetic Zitterbewegung. In: Nuclear Physics B. 2014 ; Vol. 885, No. 1. pp. 1-24.
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