Abstract
Time-dependent scattering theory for a Dirac particle with highly singular potential is developed. Criteria for asymptotic completeness of wave operators are obtained, and an example is given of a potential which violates asymptotic completeness and the unitarity of the scattering operator. (Completeness breaks down for a regular sequence of values of the coupling constant.)
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Communicated by J. Ginibre
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Pearson, D.B. The Dirac operator with highly singular potentials. Commun.Math. Phys. 57, 117–133 (1977). https://doi.org/10.1007/BF01625771
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DOI: https://doi.org/10.1007/BF01625771