LIMITING DYNAMICS, KMS-STATES, AND MACROSCOPIC PHASE-ANGLE FOR WEAKLYINHOMOGENEOUS BCS-MODELS

We study a class of inhomogeneous BCS-models (with complex momentum de pendent interaction coefficients) in terms of a generalized perturbati on theory with possibly singular perturbations in the thermodynamic li mit. We start from the averaged homogeneous model, which we formulate by recent algebraic mean-field techniques. We arrive at a Cr-dynamical system over a classically extended observable algebra, the KMS-states of which are in a bi-unique correspondence to the unperturbed ones. F or the momentum dependent gap parameters a rigorous form of the seif-c onsistency equation is derived. The macroscopic phase is evaluated as the average of the momentum dependent gap parameter phases.