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Nonlinear relativistic quantum theory of Cherenkov emission of longitudinal Langmuir waves in a plasma

  • Plasma Instability
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Abstract

A nonlinear relativistic quantum theory of stimulated Cherenkov emission of longitudinal waves by a relativistic monoenergetic electron beam in a cold isotropic plasma is presented. The theory makes use of a quantum model based on the Klein-Gordon equation. The instability growth rates are obtained in the linear approximation and are shown to go over to the familiar growth rates in the classical limit. The mechanisms for the nonlinear saturation of relativistic Cherenkov beam instabilities are described with allowance for quantum effects, and the corresponding analytic solutions are derived.

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Authors and Affiliations

  1. Moscow State University, Moscow, 119992, Russia

    Yu. V. Bobylev & M. V. Kuzelev

Authors
  1. Yu. V. Bobylev
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  2. M. V. Kuzelev
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Additional information

Original Russian Text © Yu.V. Bobylev, M.V. Kuzelev, 2011, published in Fizika Plazmy, 2011, Vol. 37, No. 10, pp. 953–958.

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Bobylev, Y.V., Kuzelev, M.V. Nonlinear relativistic quantum theory of Cherenkov emission of longitudinal Langmuir waves in a plasma. Plasma Phys. Rep. 37, 890–895 (2011). https://doi.org/10.1134/S1063780X11090030

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  • DOI: https://doi.org/10.1134/S1063780X11090030

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