“Adsorption” of excess electrons on a metallic surface

The possibility of localization of an excess electron near the inner surface of a metal in the field of the Coulomb hole generated by it is studied. The reaction of the Fermi sea is described by equations of the effective field of an electronic Landau-Migdal Fermi liquid. Functions that provide joint self-consistent solution of the above-mentioned equation and the Schrödinger equation for an excess electron wavefunction describe the steady state of autolocalized charge densities and polarization of the medium near it. Analysis of the functions that provide solution of the problem clarifies the mechanism of quantization of the macroscopic density of the surface charge of conducting bodies, which appears important for understanding how electro-chemical processes take place on electrodes.