The conditions are identified under which the electrostatic image forces at an interface dielectrics result in spatial confinement of the large polarons. This paper presents the theoretical study of large polarons state near the interface of two and three insulators. Action of a combination of external magnetic and electric fields and forces of the electrostatic image on polaron quasi two-dimensional nanostructures is analyzed. It is established that at certain ratios of dielectric constants of two dielectrics there is a fixing of polarons at some equilibrium distance from an interface of dielectrics. Polarons are fixed in the plane of the parallel to plane of the interface, forming a quasi two-dimensional nanolayer. The Bogolyubov method of collective coordinate is used to derive equations describing quantum oscillations of the center of inertia of a polaron near its equilibrium position. A long-range resonant interaction of two oscillators resulting in the appearance of effective attraction between polarons is discussed. The dielectric properties of adjacent insulators required for complete compensation of the Coulomb interpolaron repulsion are determined. Derivation is given on the temperature and magnetic field in which the polaron oscillations are not suppressed. The reasons are discussed why in some experiments high-temperature superconductivity of metal-ammonia systems was found, while in other experiments it was not possible to detect superconductivity.

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