Abstract
Existence conditions are considered for two linear invariant correlations in differential equations relative to gyroscope motion in a magnetic field with regard to the Barnett-London effect. It is proven that only a classical analogue of this case can exist.
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References
V. V. Kozlov, “Problem of the rotation of a solid body in a magnetic field,”Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 6, 28–33 (1985).
V. A. Samsonov, “On the rotation of a body in a magnetic field,”Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 4, 32–34 (1984).
P. V. Kharlamov,Lectures on the Dynamics of Solid Bodies [in Russian], Izdavel'stvo Novosibirskogo Universiteta, Novosibirsk (1965).
Additional information
Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Donetsk, Ukraine. Translated from Prikladnaya Mekhanika, Vol. 35, No. 2, pp. 98–104, February, 1999.
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Skrypnik, S.V. On two linear invariant relationships in the problem of the motion of a body in a magnetic field. Int Appl Mech 35, 204–211 (1999). https://doi.org/10.1007/BF02682156
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DOI: https://doi.org/10.1007/BF02682156