Asymptotic completeness for three-body Schrödinger operators with short-range interactions (Q1174752)
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scientific article; zbMATH DE number 9370
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic completeness for three-body Schrödinger operators with short-range interactions |
scientific article; zbMATH DE number 9370 |
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Asymptotic completeness for three-body Schrödinger operators with short-range interactions (English)
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25 June 1992
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The author proves asymptotic completeness for the three-body Schrödinger operator with a short range potential. Even though this result has been known through the work of \textit{I. M. Sigal} and \textit{A. Soffer} [e.g.: Lect. Notes Math. 1285, 435-472 (1987; Zbl 0651.35071) and \textit{V. Enß} [e.g.: Journ. ``Equations Deriv. Partielles'', St. Jean- De-Monts 1989, 1-31 (1989; Zbl 0734.35069)], the author adds some variants to the basic outline of Sigal-Soffer which make the argument somewhat more transparent in this case.
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