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Coisotropic invariant tori of hamiltonian systems of the quasiclassical theory of motion of a conduction electron

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Abstract

We investigate quasiclassical equations of motion of a conduction electron in an electric and a magnetic field. It is shown that for homogeneous fields the motion can proceed along four-dimensional coisotropic invariant tori in six-dimensional phase space. By KAM-theory methods, the motion in weakly nonhomogeneous fields is investigated.

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Authors and Affiliations

  1. Kiev Institute, USSR

    I. O. Parasyuk

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  1. I. O. Parasyuk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 3, pp. 346–351, March, 1990.

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Parasyuk, I.O. Coisotropic invariant tori of hamiltonian systems of the quasiclassical theory of motion of a conduction electron. Ukr Math J 42, 308–312 (1990). https://doi.org/10.1007/BF01057014

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  • DOI: https://doi.org/10.1007/BF01057014

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