Classical and quantum scattering on a spinning cone

Mathematics – Mathematical Physics

Scientific paper

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Scientific paper

Solutions are presented for the Klein-Gordon and Dirac equations in the 2+1 dimensional space-time created by a massive point particle, with arbitrary angular momentum. A universal formula for the scattering amplitude holds when a required self-adjoint extension of the Dirac operator is specified uniquely. Various obstacles to a consistent quantum mechanical interpretation of these results are noted.

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