Spin and BCS Extensions

While the discussion in previous chapters has been restricted to charge-neutral bilinears of spinless fermions, more realistic systems are very naturally described in the postmodern formalism by a simple extension of the underlying Moyal/Poisson algebra. We present the extended algebras for the case of spin-1/2 fermions as well as extensions that include charged bilinears that could lead to a superconducting instability.