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The density–density correlator and Fermi-gas oscillations in a random field

A. N. ArtemovPhysicotechnical Institute, Academy of Sciences of the Ukrainian SSR, DonetskА. М. ГришинPhysicotechnical Institute, Academy of Sciences of the Ukrainian SSR, Donetsk
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The density–density correlator is calculated with the aid of the supersymmetry method in the quadratic approximation in the fluctuations. The poles of the correlator give the spectrum of zero-sound oscillations which are responsible for the evolution of states in the stage preceding localization.

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