Discrete approach to incoherent excitations in conductors

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Keeping the discretness of the reciprocal space we calculate the spectrum of incoherent electron-hole excitations in the conducting Fermi liquids. The metod is illustrated on the well-known jellium model within the random phase approximation. It also leads to the formulation os a sum rule from which we get the details os dispersion curve for the collective plasmon mode. The notion of time averaging in the discrete approach is briefly recalled.