Sommerfeld-watson representation for double-spectral functions - I. Potential scattering without regge poles

D. Atkinson, J. S. Frederiksen

Research output: Contribution to journalArticleOther

10 Citations (Scopus)


We demonstrate the existence of elastically unitary scattering amplitudes, corresponding to a given Born term, when the latter satisfies certain conditions of Höldercontinuity. The results are directly applicable to nonrelativistic potential scattering; and they will also be useful later in connection with the construction of relativistic, crossing-symmetric amplitudes. In this preliminary study, no singularities are allowed in the right half of the complex angular-momentum plane; but it is intended eventually to introduce such singularities (Regge poles and branch-points).

Original languageEnglish
Pages (from-to)55-74
Number of pages20
JournalCommunications in Mathematical Physics
Issue number1
Publication statusPublished - Feb 1975
Externally publishedYes

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