THE CARTAN FORMALISM IN-FIELD THEORY

We consider a generalisation to field theory of the symplectic geometr ic approach to particle mechanics. This involves the definition of spa cetime models; space and time as separate entities being taken as the primitive elements of the theory. Dynamical covariance and the CPT tra nsformation of the Maxwell-Dirac and Maxwell-Schrodinger fields can th en be discussed within the same formalism. A novel matrix formulation of the Schrodinger equation emerges which is a direct limit from the D irac field.