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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2015, Volume 101, Issue 9, Pages 708–711
DOI: https://doi.org/10.7868/S0370274X15090106
(Mi jetpl4626)
 

This article is cited in 2 scientific papers (total in 2 papers)

METHODS OF THEORETICAL PHYSICS

Spin dynamics in the Frenkel model with allowance for the variation of the inertial properties of the electron

S. L. Lebedev

Surgut State University, Surgut, 628412, Russia
Full-text PDF (165 kB) Citations (2)
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Abstract: The equations of motion of the Frenkel model $\gamma\gg 1$, $a_{e}\lesssim \chi\ll 1$ (where $\gamma$ is the Lorentz factor, $a_{e}=\frac12 (g-2)$, and $\chi=\sqrt{(eF_{\mu\nu}p_{\nu})^{2}}/m_{e}^{3}$) result in the generalization of the Lorentz and Bargmann–Michel–Telegdi equations. The modification is due to the Frenkel addition $m_{\text{Fr}}$ to the mass of the electron and can be of interest for currently planned experiments with relativistic beams. The derived Frenkel–Bargmann–Michel–Telegdi equation contains a longitudinal part with a time-dependent coefficient, which is nonzero at $g=2$. In the case of constant background fields, the equations of trajectory and spin can be integrated with a required accuracy if the antiderivative of the function $m_{\text{Fr}}(\tau)$ is known. A new representation of the spin-orbit contribution $\Delta m_{so}$ to the mass shift has been found in terms of the geometric invariants of world lines. It has been shown that the rate of variation of $\Delta m_{so}$ is determined by $a_{e}+m_{\text{Fr}}/m_{e}$. The possibility of the periodic variation of spin light along the trajectory of beam has been indicated.
Received: 10.03.2015
English version:
Journal of Experimental and Theoretical Physics Letters, 2015, Volume 101, Issue 9, Pages 633–637
DOI: https://doi.org/10.1134/S0021364015090106
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. L. Lebedev, “Spin dynamics in the Frenkel model with allowance for the variation of the inertial properties of the electron”, Pis'ma v Zh. Èksper. Teoret. Fiz., 101:9 (2015), 708–711; JETP Letters, 101:9 (2015), 633–637
Citation in format AMSBIB
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