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A numerical evaluation of the imaginary part of the self-energy function, Σ2^(k,ω), for the free-electron gas has been performed with the aid of an IBM 7094 computer. The calculation is done within the randomphase approximation using the full Lindhard dielectric-constant function. Results are presented in the form of plots of Σ2^(k,ω) versus ω for various values of k and electronic density. Comparison is made in the quadratic ω-dependent region about the Fermi surface with an analytic calculation using a statically screened Coulomb interaction.
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Bose et al. (1967) studied this question.
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