The phase shift. II. As a continuous functional

William M. Frank, David W. McLaughlin

Research output: Contribution to journalArticlepeer-review


The continuity of the phase shift and S-wave scattering length as a functional of the potential is considered. The question is investigated in the present article for sequences of square wells which converge pointwise to zero. The results show certain conditions to be sufficient for convergence of the phase shift and scattering length to zero. These results are generalized to certain integral norms.

Original languageEnglish (US)
Pages (from-to)2525-2529
Number of pages5
JournalJournal of Mathematical Physics
Issue number12
StatePublished - 1971

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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