We develop the hypothesis about the coherent quantum origin of the decameter radiation of the system Jupiter - Io that may explain its very high brightness temperature. The typical magnitude of a magnetic field in the system produces the necessary value of the cyclotron frequency wc that is close to the experimentally observed one and corresponds to the quantum transitions between Landau levels. A possible source of this radiation is the transitions in the spectrum of highly excited hydrogen atoms (Rydberg atoms) that has a narrow band of almost equidistant levels (Landau quasi-levels) in a constant magnetic field. This part of the spectrum is calculated by a new nonperturbative method. We discuss also an additional formation mechanism of Rydberg atoms in a dusty plasma.

• Фоміна Аліна Петрівна (1976–) (фізико-математичні науки)

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