The scattering matrix for singular Schrödinger operators (Q1260838)

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scientific article; zbMATH DE number 399045
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The scattering matrix for singular Schrödinger operators
scientific article; zbMATH DE number 399045

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    The scattering matrix for singular Schrödinger operators (English)
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    5 September 1993
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    In the framework of the problem of potential and obstacle scattering, the eigenfunction expansion theorem is extended to highly singular Schrödinger operators with generalized potentials associated with singular measures on \(R^ n\). The existence of the associated Scattering Operator and Scattering Matrix are studied and their properties are explored and developed.
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    scattering matrix
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    associated scattering operator
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    potential and obstacle scattering
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    eigenfunction expansion theorem
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    highly singular Schrödinger operators
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    generalized potentials associated with singular measures
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