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Spectral properties of the Dirac operator with a nonsmooth potential of the general form and operator groups - MaRDI portal

Spectral properties of the Dirac operator with a nonsmooth potential of the general form and operator groups (Q2009917)

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scientific article; zbMATH DE number 7139208
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Spectral properties of the Dirac operator with a nonsmooth potential of the general form and operator groups
scientific article; zbMATH DE number 7139208

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    Spectral properties of the Dirac operator with a nonsmooth potential of the general form and operator groups (English)
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    3 December 2019
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    The purpose of this article is to study a Dirac operator \(L\) between Hilbert spaces. The main result is a complicated similarity theorem about the existence of an integer \(k>0\) with certain properties. Then the spectrum \(\sigma(L)\) is represented in the form of a union. Finally, it is shown that the operator \(iL\) is the generator of a strongly continuous operator group.
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    Dirac operator
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    Hilbert space
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    similarity theorem
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    spectrum
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