Abstract
A system of equations describing the evolution of the mean-square quantum fluctuations of the transverse coordinate and momentum operators and the evolution of the mean-square fluctuations of the transverse coordinate and momentum with respect to the classical trajectory of channeled particle is constructed using linearized Heisenberg equations. The energy losses of channeled particles on crystal electrons and the mean-square fluctuations of the transverse coordinate and momentum are calculated within the same formalism.
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Scandale, W., Vomiero, A., Baricordi, S., et al., Phys. Rev. Lett., 2008, vol. 101, 164 801.
Andresen, J.U., Chevallier, J., Foster, J.S., et al., Phys. Rev. Lett., 2007, vol. 99, 162 502.
Nakai, Y., Nakano, Y., Azuma, T., et al., Phys. Rev. Lett., 2008, vol. 101, 113 201.
Lindhard, J., Mat. Fys. Medd. Dan. Vid. Selsk., 1965, vol. 34, no. 14, p. 49.
Otsuki, Y.-H., Charged Beam Interaction with Solids, New York: Taylor and Francis, 1983.
Koshcheev, V.P., Izv. Vyssh. Uchebn. Zaved., Fiz., 1995, no. 1, p. 100.
Bethe, H., Intermediate Quantum Mechanics, New York: W.A. Benjamin, 1969.
Koshcheev, V.P., Izv. Vyssh. Uchebn. Zaved., Fiz., 1999, no. 10, p. 73.
Gardiner, K.V., Stochastic Methods in Natural Sciences, Berlin: Springer, 1985.
Koshcheev, V.P., Izv. Vyssh. Uchebn. Zaved., Fiz., 1997, no. 8, p. 32.
Koshcheev, V.P., Morgun, D.A., Safin, N.V., and Kholodov, A.K., Poverkhnost’: Rentgen., Sinkhrotr., Neitron. Issled., 2006, no. 10, p. 1.
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Original Russian Text © V.P. Koshcheev, D.A. Morgun, T.A. Panina, 2009, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2009, Vol. 73, No. 11, pp. 1585–1590.
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Koshcheev, V.P., Morgun, D.A. & Panina, T.A. Stochastic dynamics of multiple scattering and energy losses of channeled particles. Bull. Russ. Acad. Sci. Phys. 73, 1491–1495 (2009). https://doi.org/10.3103/S106287380911015X
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DOI: https://doi.org/10.3103/S106287380911015X