Abstract
The spin properties of an electron due to quantization of its motion in a focusing electromagnetic field are studied. Within the framework of the complex Maslov WKB method, an explicit dependence is obtained for the quasiclassical particle energy spectrum on the spin. It is shown that for electrons in an axial channeling regime this will result in a different degree of states' stability depending on the value of the projection of the spin on the moment of rotation.
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A. A. Sokolov and I. M. Ternov, The Relativistic Electron [in Russian], Nauka, Moscow (1974).
P. M. Fradkin, Rev. Mod. Phys.,3, No. 2, 343 (1961).
V. G. Bagrov, D. M. Gitman, I. M. Ternov, V. R. Khalilov, and V. N. Shapovalov, Exact Solutions of Relativistic Wave Equations [in Russian], Nauka, Novosibirsk (1982).
M. A. Kumakhov and F. F. Komarov, Charged Particle Radiation in Solids [in Russian], Izd. Universtitetskoe, Minsk (1985).
V. P. Maslov, Complex WKB Method in Nonlinear Equations [in Russian], Nauka, Moscow (1977).
V. V. Belov and S. Yu. Dobrokhotov, Preprint Mat. Inst. Akad. Nauk SSSR, Moscow (1989).
V. G. Bagrov, V. V. Belov, and V. P. Maslov, Transactions of All-Union Conf.: Principles of Physics [in Russian], Sochi, April (1989).
V. G. Bagrov, V. V. Belov, I. M. Ternov, and B. V. Kholomai, Preprint No. 29, [in Russian], Tomsk Sections, Siberian Branch, USSR Academy of Science, Tomsk (1986).
V. V. Belov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 2, 11 (1989).
B. V. Kholomai, Vestn. Moskov. Gos. Univ., Ser. 3, Fiz. Astron.,25, No. 5, 125 (1984).
V. G. Bagrov, I. M. Ternov, and B. V. Kholomai, Zh. Éksp. Teor. Fiz.,86, 1066 (1984).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 91–96, September, 1990.
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Belov, V.V., Kholomai, B.V. Spin effects during electron motion in an axially symmetric electromagnetic field. Soviet Physics Journal 33, 801–805 (1990). https://doi.org/10.1007/BF00894908
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DOI: https://doi.org/10.1007/BF00894908