GPS signals play a very important role in the modern industry, science,
tourism, military and domestic operations. However, GPS signals are not free
from some mistakes caused by disturbances appearing in D and E layers of the atmosphere. A quantum approach is proposed to the theory of
propagation of a satellite GPS signal through the D and E layers
of the atmosphere, which reduces to the problem of scattering of photons moving
in the electromagnetic field of a signal in Rydberg complexes formed in a
two-temperature non-equilibrium plasma. The processes of creation of additional
photons as a result of stimulated emission and resonance scattering of photons
are considered. It is shown that the first process leads to a direct increase
in the power of the received signal, and the second to a shift in the signal
carrier frequency and the time delay of its propagation. This occurs because of
the scattering of the Rydberg electron by the ion core and the neutral medium
molecule in the intermediate autoionization states of the composite system
populated by the strong non-adiabatic coupling of electron and nuclear motions.
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