The angular distribution functions of the polarized components of synchrotron radiation in the nonrelativistic approximation are investigated using methods of classical and quantum theory. Particles of zero spin (bosons) and spin 1/2 (electrons) are considered in the quantum theory. It is shown that in the first nonzero approximation the angular distribution functions, calculated by methods of classical and quantum theory, coincide identically. Quantum corrections to the angular distribution functions appear only in the subsequent approximation whereas the total radiated power contains quantum and spin corrections already in the first approximation.
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References
A. A. Sokolov and I. M. Ternov, Synchrotron Radiation, Akademie-Verlag, Oxford (1968).
H. Winick and S. Doniach, Synchrotron Radiation Research, Plenum Press, New York (1980).
A. A. Sokolov, I. M. Ternov, and C. W. Kilmister, Radiation from Relativistic Electrons, American Institute of Physics, Woodbury (1986).
V. G. Bagrov, G. S. Bisnovatyi-Kogan, V. A. Bordovitsyn, et al., Synchrotron Radiation Theory and Its Development, V. A. Bordovitsyn, ed., World Scientific, Singapore (1999).
P. J. Duke, Synchrotron Radiation: Production and Properties, Oxford University Press, Oxford (2000).
V. G. Bagrov, G. S. Bisnovatyi-Kogan, V. A. Bordovitsyn, et al., Theory of Radiation of Relativistic Particles [in Russian], V. A. Bordovitsyn, ed., Fizmatlit, Moscow (2002).
H. Wiedemann, Synchrotron Radiation, Springer, Heidelberg (2003).
A. Hofmann, The Physics of Synchrotron Radiation, Cambridge University Press, New York (2004).
G. A. Schott, Phil. Mag., 13, 189 (1907); Ann. Phys., 24, 635 (1907).
V. G. Bagrov, M. V. Dolzhin, V. B. Tlyachev, and A. T. Yarovoi, Russ. Phys. J., 47, No. 4, 414–423 (2004).
V. G. Bagrov, D. M. Gitman, V. B. Tlyachev, and A. T. Yarovoi, in: Proc. 15th Int. Summer School-Seminar “Volga-15” on Modern Problems in Theoretical and Mathematical Physics, A. V. Aminova, ed., Kazan’ (2004), pp. 9–24.
V. G. Bagrov, Opt. Spektr., 18, No. 4, 541–544 (1965).
I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, San Diego (1980).
V. G. Bagrov, Russ. Phys. J., 8, No. 5, 82–85 (1965).
V. G. Bagrov and O. F. Dorofeev, Vestnik MGU. Fiz., Astron., 21, No. 2, 97–101 (1966).
I. M. Ternov, V. G. Bagrov, and O. F. Dorofeev, Russ. Phys. J., 11, No. 10, 50–55 (1968).
V. G. Bagrov and D. M. Gitman, The Dirac Equation and Its Solutions, Walter de Gruyter, Berlin (2014).
V. G. Bagrov, A. N. Bourimova, D. M. Gitman, and A. D. Levin, Eur. Phys. J., C72, No. 2, 1871 (1–12) (2012).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 145–151, November, 2016.
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Bagrov, V.G., Loginov, A.S. Angular Distributions of Synchrotron Radiation in the Nonrelativistic Approximation. Russ Phys J 59, 1896–1904 (2017). https://doi.org/10.1007/s11182-017-0993-y
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DOI: https://doi.org/10.1007/s11182-017-0993-y