Absence of high energy resonances for many-body Schrödinger operators (Q1103776)

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scientific article; zbMATH DE number 4054145
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Absence of high energy resonances for many-body Schrödinger operators
scientific article; zbMATH DE number 4054145

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    Absence of high energy resonances for many-body Schrödinger operators (English)
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    1986
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    We show that for an N-body Schrödinger operator \(H=H_ 0+V\) with dilation analytic potential of class \(C_{\alpha}\) the eigenvalues of the dilated Hamiltonian H(i\(\beta)\) constitute a bounded set within a suitable sector for any \(\beta\in (0,\alpha)\).
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    N-body Schrödinger operator
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    dilation analytic potential
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    eigenvalues
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