Abstract
The ground state of the appropriate generalization of the impurity Anderson model for valence fluctuations between two realistic configurations, is obtained in the atomic, narrow-band limit, using the Lanczos method. This limit describes the strong-coupling fixed point of renormalization group treatments for intermediate valence and Kondo impurities. The resulting ground state of Tm is highly degenerate and contains states of total angular momentum 0, 3 2 , 2, 5 2 , 4 and 9 2 . The ground state of Pr has J t = 15 2 and that of U has J t = 8. For Tm, the crystal electric field or and applied magnetic field should split the degeneracy favouring the magnetic states. In agreement with experiments in Tm and U compounds the magnetic moment at the impurity is in all cases anomalously small. It decreases when L- S coupling is replaced by intermediate coupling and vanishes in the limit of j- j coupling.
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