Complex Angular Momenta in Potential Scattering

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1962 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 3, pages 922-927 (issn: 0022-2488, eissn: 1089-7658,

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Authors: Froissart, M.;

doi: 10.1063/1.1724307

Complex Angular Momenta in Potential Scattering

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Abstract

The S matrix associated with a central potential is shown to be meromorphic in the energy and angular momentum variables under very broad conditions. The domain of meromorphy contains the product of a domain in the energy variable by a domain in the angular variable. The former (latter) domain has a very simple connection with the domain of meromorphy of the Laplace (Mellin) transform of the potential with respect to the radius.

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College of New Jersey
United States

Keywords

quantum theory

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