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OnN-body Schrödinger operators

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Abstract

In these notes, we study the estimates of the resolvent or the unitary group of theN-body Schrödinger operator. The main strategy is to introduce an algebra of operators having nice commutation relations with the many-body Schrödinger operator. These estimates are applied to derive the detailed properties of the S-matrices associated with the many-body collision process.

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  1. Department of Mathematics, Osaka University, 560, Toyonaka, Japan

    Hiroshi Isozaki

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  1. Hiroshi Isozaki
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Isozaki, H. OnN-body Schrödinger operators. Proc. Indian Acad. Sci. (Math. Sci.) 104, 667–703 (1994). https://doi.org/10.1007/BF02830800

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