On the asymptotic behaviour of the mass operator near the Fermi energy |
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Authors: | R. Sartor |
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Affiliation: | Institut de Physique, Université de Liège, Sart Tilman, B-4000 Liège 1, Belgique |
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Abstract: | By taking due account of momentum conservation, it is shown that, when ω is near the Fermi energy ωF, the imaginary part of the mass operator for an infinite Fermi system behaves like (ω ? ωF)p(k) where the exponent p(k) ? 2 depends on the interval in which is lying. In particular, the commonly asserted quadratic behaviour (ω ? ωF2 is shown to be true only for . It is explicity assumed that the Fermi system admits a perturbative type treatment. |
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Keywords: | |
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