An integral formula of hyperbolic type for solutions of the Dirac equation on Minkowski space with initial conditions. (Q2883540)
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scientific article; zbMATH DE number 6033889
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An integral formula of hyperbolic type for solutions of the Dirac equation on Minkowski space with initial conditions. |
scientific article; zbMATH DE number 6033889 |
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11 May 2012
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Clifford analysis
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integral formula of hyperbolic type
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hyperboloid
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Minkowski space
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An integral formula of hyperbolic type for solutions of the Dirac equation on Minkowski space with initial conditions. (English)
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The paper deals with the Dirac equation for spinor value fields on a Minkowski space of even dimension. It is shown how the solutions of this hyperbolic system of PDEs may be reconstructed from initial data given on the upper sheet of the hyperboloid \((x, x) = -R^2\), where \((\;,\;)\) stands for the Minkowski inner product. In particular, an integral formula is established expressing function values as an integral over a specific compact cycle.
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