Document Zbl 0747.35030

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Asymptotic completeness for three-body Schrödinger operators with short-range interactions. (English) Zbl 0747.35030

J. Math. Soc. Japan 43, No. 1, 1-24 (1991).

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 I. M. Sigal and A. Soffer [e.g.: Lect. Notes Math. 1285, 435-472 (1987; Zbl 0651.35071) and 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.

Reviewer: J.Brüning (Augsburg)

Cited in 1 Document

MSC:

35P25	Scattering theory for PDEs
35J10	Schrödinger operator, Schrödinger equation
81U10	\(n\)-body potential quantum scattering theory

Citations:

Zbl 0651.35071; Zbl 0734.35069

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