Barut A. O., Moore D. J., Piron C.
The Cartan formalism in field theory
(46K, TeX)

ABSTRACT.  We consider a generalisation to field theory of the symplectic geometric
approach to particle mechanics. This involves the definition of spacetime
models; space and time as separate entities being taken as the primitive
elements of the theory. Dynamical covariance and the CPT transformation of
the Maxwell-Dirac and Maxwell-Schr\"odinger fields can then be discussed within
the same formalism. A novel matrix formulation of the Schr\"odinger equation
emerges which is a direct limit from the Dirac field.