Abstract

A numerical solution of the Cooper-BCS model is given, taking into account the energy dependence of the pair interaction U(ε) in the form suggested by Fröhlich. At energies corresponding to scales Δx≈100 A this model is found to predict a high Tc≈100 K, with absence of isotope effect, in the weak to moderate coupling limit, and to reduce to the usual BCS model with constant interaction at macroscopic scales.

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