An Integral Formula of Hyperbolic Type for Solutions of the Dirac Equation on Minkowski Space with Initial Conditions on a Hyperboloid
نویسندگان
چکیده
The Dirac equation for spinor-valued fields f on the Minkowski space of even dimension form a hyperbolic system of partial differential equations. In the paper, we are showing how to reconstruct the solution from initial data given on the upper sheet H+ of the hyperboloid. In particular, we derive an integral formula expressing the value of f in a chosen point p as an integral over a compact cycle given by the intersection of the null cone with H+ in the Minkowski space M.
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تاریخ انتشار 2010