Scientific article
Open access

The Cartan formalism in field theory

Published inHelvetica physica acta, vol. 66, p. 795-809
Publication date1993

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.

Citation (ISO format)
BARUT, A.O., MOORE, D.J., PIRON, Constantin. The Cartan formalism in field theory. In: Helvetica physica acta, 1993, vol. 66, p. 795–809.
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Article (Accepted version)
  • PID : unige:1897
ISSN of the journal0018-0238

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