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The Penrose transform for Dirac equation. (English) Zbl 0788.53071
Bureš, J. (ed.) et al., The proceedings of the 11th winter school geometry and physics held in Srní, Czechoslovakia, January 5-12, 1991. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 30, 183-193 (1993).
The Penrose transform is discussed for the Dirac equation corresponding to an orthogonal group in even dimensions. The authors outline a simple approach to the calculation which involves using the Dolbeault realization of cohomology groups rather than hypercohomology and spectral sequence. The details will be given elsewhere.
For the entire collection see [Zbl 0777.00026].
53Z05 Applications of differential geometry to physics
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
81R25 Spinor and twistor methods applied to problems in quantum theory