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Analytic properties of the scattering matrix of many particle systems - MaRDI portal

Analytic properties of the scattering matrix of many particle systems (Q1084307)

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scientific article; zbMATH DE number 3977731
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Analytic properties of the scattering matrix of many particle systems
scientific article; zbMATH DE number 3977731

    Statements

    Analytic properties of the scattering matrix of many particle systems (English)
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    1986
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    Analytic properties of the S-matrix are discussed for the many-body problem under the assumptions that the Schrödinger operator is of the form \(-\Delta +\Sigma V_{ij}(x_ i-x_ j)\), \(1\leq i,j\leq N\), and \(V_{ij}\) satisfy a number of technical conditions, in particular \(V_{ij}\) are dilation-analytic and decay exponentially.
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    S-matrix
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    Schrödinger operator
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    dilation-analytic
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    decay exponentially
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