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The Cartan formalism in field theory

Barut, A.O.
Moore, D.J.
Published in Helvetica physica acta. 1993, vol. 66, p. 795-809
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-Schrödinger fields can then be discussed within the same formalism. A novel matrix formulation of the Schrödinger equation emerges which is a direct limit from the Dirac field.
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BARUT, A.O., MOORE, D.J., PIRON, Constantin. The Cartan formalism in field theory. In: Helvetica physica acta, 1993, vol. 66, p. 795-809. https://archive-ouverte.unige.ch/unige:1897

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Deposited on : 2009-06-04

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