Relativistic Potential Scattering

The scattering properties of the relativistic two‐body problem, governed by the Dirac equation, are investigated. It is shown rigorously that the associated Hamiltonians are self‐adjoint, that the associated wave operators exist, and that the scattering operator exists and is unitary, all under suit...

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Bibliographic Details
Published in:Journal of mathematical physics 1963-08, Vol.4 (8), p.1048-1054
Main Author: Prosser, Reese T.
Format: Article
Language:English
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Summary:The scattering properties of the relativistic two‐body problem, governed by the Dirac equation, are investigated. It is shown rigorously that the associated Hamiltonians are self‐adjoint, that the associated wave operators exist, and that the scattering operator exists and is unitary, all under suitable conditions on the potential. These conditions on the potential are analogues of those required for the nonrelativistic two‐body problem governed by the Schrödinger equation.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1704033