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The internal s-electron polarization in the ground state of aFriedel-Anderson and a Kondo impurity is calculated. The Wilson basis withexponentially fine energies close to the Fermi level is used and expressed interms of free electron waves with linear energy-momentum dispersion. It isfound that in the singlet state the magnetic moment of the d-electron isscreened by an s-electron cloud. The linear extension of the cloud is inverselyproportional to the Kondo energy. When the singlet state is destroyed thepolarization cloud is absent.

Quantitative Calculation of the Spatial Extension of the Kondo Cloud