Abstract
For a relativistic spinning particle with an anomalous magnetic moment, Lienard-Wiechert potentials are constructed within the pseudoclassical approach. Some specific cases of the motion of a spinning particle are considered on the basis of general expressions obtained in this study for the Lienard-Wiechert potentials. In particular, the intensity of the synchrotron radiation from a transversely polarized particle moving along a circle at a constant speed is investigated as a function of the particle spin. In the specific case of particles having no anomalous magnetic moment and moving in an external uniform magnetic field, the resulting expressions coincide with familiar formulas from the quantum theory of radiation. The spin dependence of the polarization of synchrotron radiation is investigated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
F. A. Berezin and M. S. Marinov, Ann. Phys. (N.Y.) 104, 336 (1977).
R. Casalbuoni, Nuovo Cimento A 33, 115 (1976).
P. A. M. Dirac, Lectures on Quantum Mechanics (Yeshiva Univ., New York, 1964).
D. V. Gitman and I. V. Tyutin, Canonical Quantization of Constrained Fields (Nauka, Moscow, 1986).
M. Henneaux and C. Teitelboim, Quantization of Gauge Systems (Princeton Univ. Press, Princeton, 1992).
A. Frydryszak, hep-th/9601020.
A. A. Zheltukhin, Teor. Mat. Fiz. 65, 151 (1985).
D. Gitman and A. Saa, Class. Quantum Grav. 10, 1447 (1993).
G. V. Grigoryan and R. P. Grigoryan, Yad. Fiz. 58, 1146 (1995) [Phys. At. Nucl. 58, 1072 (1995)].
I. M. Ternov and V. A. Bordovitsyn, Vestn. Mosk. Univ., Ser. 3: Fiz., Astron. 24, 69 (1983).
I. M. Ternov, V. G. Bagrov, and R. A. Rzaev, Zh. Éksp. Teor. Fiz. 46, 374 (1964) [Sov. Phys. JETP 19, 255 (1964)]; Synchrotron Radiation, Ed. by A. A. Sokolov and I. M. Ternov (Nauka, Moscow, 1966).
J. R. Ellis, J. Math. Phys. 7, 1185 (1965).
G. V. Grigoryan and R. P. Grigoryan, Zh. Éksp. Teor. Fiz. 103, 3 (1993) [JETP 76, 1 (1993)].
V. V. Batygin and I. N. Toptygin, Problems in Electrodynamics (Nauka, Moscow, 1970; Academic, London, 1964).
V. A. Bordovitsyn, N. N. Byzov, G. K. Razina, and V. Ya. Épp, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 5, 12 (1978).
V. N. Baier, V. M. Katkov, and V. S. Fadin, Radiation from Relativistic Electrons (Atomizdat, Moscow, 1973); V. N. Baier, V. M. Katkov, and V. M. Strakhovenko, Electromagnetic Processes at High Energies in Oriented Single Crystals (World Sci., Singapore, 1998).
Author information
Authors and Affiliations
Additional information
__________
Translated from Yadernaya Fizika, Vol. 63, No. 12, 2000, pp. 2211–2218.
Original Russian Text Copyright © 2000 by Arakelyan, G. Grigoryan, R. Grigoryan.
Rights and permissions
About this article
Cite this article
Arakelyan, S.A., Grigoryan, G.V. & Grigoryan, R.P. Lienard-Wiechert potentials and synchrotron radiation from a relativistic spinning particle in pseudoclassical theory. Phys. Atom. Nuclei 63, 2115–2122 (2000). https://doi.org/10.1134/1.1333882
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1134/1.1333882