93-249 Barut A. O., Moore D. J., Piron C.

The Cartan formalism in field theory (46K, TeX) Oct 14, 93

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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.

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