Abstract
The spectral weight function has been calculated in copper including the energy dependence of both the real and imaginary parts of the self-energy using the slowly varying density approximation. The results show a clear band dependence for the lifetime of the single-particle states as well as for the energy shifts introduced by the self-energy on the single-particle energies. The specific heat enhancement has been calculated within the same approximation obtaining Cv=1.16 Cv0, Cv0 being the independent-particle specific heat.