The Dirac equation in exterior form
This paper is a continuation of the authors' papers [ibid. 89, 341-362 (1983; Zbl 0527.58023); J. Phys. A 16, 4147-4153 (1983); Phys. Lett. B 130, 177-178 (1983)]. The authors, using the correspondence between the Clifford and exterior algebras, have written the Dirac equation in terms of differential forms. The covariances of the theory are examined. The authors have shown in detail the correspondence between an equation for a spinorial section of the Kähler-Atiyah bundle and the usual matrix formulation of the Dirac equation.
scientific article; zbMATH DE number 3942527