General solution of the periodic Anderson Hamiltonian in one dimension atT=0K: Symmetric and nonsymmetric cases

A general solution for the periodic Anderson Hamiltonian in one dimension is presented. Density of states, energy gaps, and valencies (charge on $f$ states) are calculated for the case of two electrons per site and $T=0\mathrm{}$ K. The following results are worth mentioning: (i) The paramagnetic phase (the one herein considered) is always insulating, and (ii) the transition from a phase of integral to intermediate valence is continuous, although its abruptness increases with $U$.