J.V. Pul , A.F. Verbeure, V.A. ZAgrebnov On Solvable Boson Models (317K, pgf) ABSTRACT. The problem of equilibrium states and/or ground states of exactly solvable homogeneous boson models is stated and explicitly proved as a special case of the general variational problem of statistical mechanics in terms of quasi-free states. We apply the result to a model of superradiant Bose-Einstein condensation and to the Pairing Boson Model.