A formula on scattering length of positive smooth measures

Masayoshi Takeda

研究成果: Article査読

4 被引用数 (Scopus)

抄録

M. Kac studied the scattering length probabilistically and conjectured that its semi-classical limit equals the capacity of the support of the potential. This conjecture has been proved independently by Taylor, Takahashi, and Tamura. In this paper we give another simple proof by the random time-change argument for Dirichlet forms and extend the previous results to positive measure potentials.

本文言語English
ページ(範囲)1491-1494
ページ数4
ジャーナルProceedings of the American Mathematical Society
138
4
DOI
出版ステータスPublished - 2010 4

ASJC Scopus subject areas

  • 数学 (全般)
  • 応用数学

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