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Nonrelativistic quantum theory of stimulated Cherenkov radiation and Compton scattering in a plasmaa Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation b Prokhorov General Physics Institute of the Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991, Russian Federation The role of quantum effects in the theory of Langmuir waves in a collisionless plasma is shown to be important for flows of quantum particles resonantly interacting with plasma oscillations and for plasma electromagnetic waves undergoing resonant scattering.
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