Atoms, ions, and molecules; crystal field theory; Mott transition and Hubbard model; Mott insulators; Heisenberg magnets; itinerant electron magnetism; ferromagnetism in Hubbard models; the Gutzwiller variational method; the correlated metallic state; mixed valence and heavy fermions; quantum hall effect; hydrogen atom; single-spin-flip ansatz; Gutzwiller approximation; Schrieffer-Wolff transformation.

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