One-dimensional Schrödinger operators with general point interactions (Q2850442)

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scientific article; zbMATH DE number 6212588
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One-dimensional Schrödinger operators with general point interactions
scientific article; zbMATH DE number 6212588

    Statements

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    26 September 2013
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    Schrödinger operator
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    point interactions
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    norm resolvent convergence
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    One-dimensional Schrödinger operators with general point interactions (English)
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    The authors consider various forms of boundary conditions for general one-dimensional Schrödinger operators with one or a finite number of point interactions including \(\delta\)- and \(\delta'\)-interactions, and the cases of a \(\delta'\)-potential and \(\delta\)-magnetic potential. For these operators, spectral properties are studied; the possibility of the norm resolvent approximation by operators with some types of \(\delta\)-potentials is investigated.
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