### Abstract

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 language | English (US) |
---|---|

Pages (from-to) | 2525-2529 |

Number of pages | 5 |

Journal | Journal of Mathematical Physics |

Volume | 12 |

Issue number | 12 |

State | Published - 1971 |

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### ASJC Scopus subject areas

- Organic Chemistry

### Cite this

*Journal of Mathematical Physics*,

*12*(12), 2525-2529.

**The phase shift. II. As a continuous functional.** / Frank, William M.; McLaughlin, David W.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 12, no. 12, pp. 2525-2529.

}

TY - JOUR

T1 - The phase shift. II. As a continuous functional

AU - Frank, William M.

AU - McLaughlin, David W.

PY - 1971

Y1 - 1971

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=36849112190&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36849112190&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:36849112190

VL - 12

SP - 2525

EP - 2529

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 12

ER -