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Abstract
The macroscopic surface response of a semi-infinite Fermi liquid is considered. On the basis of Landau's kinetic equation, a dispersion relation is derived for the free surface modes. In the limit of weak quasiparticle interaction we find a surface mode with a purely imaginary frequency. This mode is shown to be critically damped if the stiffness is given by the excess surface energy and the friction by the one-body wall formula. By assuming a correspondence with the quantum relation between dissipation rate and response function, the macroscopic surface response function is obtained. The results are applied to inelastic scattering of protons from nuclei. While the qualitative behavior of the nuclear response is reproduced by the semi-infinite model, the decrease with energy is too rapid.
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