Wave operators for dilation-analytic three-body Hamiltonians (Q1123368)

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scientific article; zbMATH DE number 4109406
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Wave operators for dilation-analytic three-body Hamiltonians
scientific article; zbMATH DE number 4109406

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    Wave operators for dilation-analytic three-body Hamiltonians (English)
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    1988
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    The author extends and completes his previous work [Ann. Inst. H. Poincaré 32, 125-160 (1980; Zbl 0428.47003)]. A dilation analytic three body Schrödinger operator with pair potentials falling faster than \(r^{-2}\) at infinity is considered. Spectral measures and the channel wave operators (which are proved to be complete) are constructed for the dilated Hamiltonian. The inverse channel wave operators converge strongly to the corresponding elements of the inverse wave operator for the given Hamiltonian.
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    dilation analytic three body Schrödinger operator with pair potentials falling faster than \(r^{-2}\) at infinity
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    Spectral measures
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    dilated Hamiltonian
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    inverse channel wave operators
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