Fomina A. Coherent collective superradiation of nonrelativistic magnetized electrons and its realization in astrophysical conditions.

The thesis deals with developing of the theory of superradiation of the inverted nonrelativistic electrons in the magnetic field on high Landau levels. This effect is applied to interpret the nature and main features of the super-power decameter radiation of the system Jupiter-Io, using only the observational data of the system Jupiter-Io and parameters of S-spectra. The phenomenon of superradiation arises when in "coherence domains", with sizes R_0 smaller then the wavelength, all N_0 radiating dipoles gradually during radiation become aligned in one direction due to the dipole-dipole interaction between them in the "near zone", so that, as a result, the total dipole of the domain turns out to be N0 times larger then the elementary dipole. Therefore, the intensity of the collective dipole radiation becomes proportional to N_0^2, and not N_0 as in the case of radiation of uncorrelated dipoles. The nonlinear equation (similar to the Weiss method in the theory of spontaneous magnetization) is obtained. The effect of cyclotron superradiation of electrons on high Landau levels is applied to interpret the main features of the super power decameter radiation of the system Jupiter-Io. It is offered the quantum model of formation of milisecond quasiperiodical on time S-spectra of decameter radiations of the system Jupiter - Iо due to modulation of primary radiation of the Jupiter in magnetosphere of gas-dusty Io torus.