  We construct a transformation between Bose Fock space and Fermi Fock space
that is super-symmetric in the sense that it converts Boson fields into Fermi
fields over a fixed one-particle space. The transformation involves the
spectral splitting of the one-particle space into a continuous direct integral
of internal spaces. We present a theory of integration on the Fock spaces over
the square intergable functions taking values in these internal spaces which we
refer to as a Wick calculus: this is a natural generalization of the theory of
quantum stochastic calculus which used a single fixed internal space.
