Abstract
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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Communicated by B. Simon
This work is supported in part by funds provided by the U.S. Department of Energy (D.O.E.) under contract #DE-AC02-76ER03069
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de Sousa Gerbert, P., Jackiw, R. Classical and quantum scattering on a spinning cone. Commun. Math. Phys. 124, 229–260 (1989). https://doi.org/10.1007/BF01219196
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DOI: https://doi.org/10.1007/BF01219196