Weak Bloch property for discrete magnetic Schrödinger operators (Q2725473)

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scientific article; zbMATH DE number 1619254
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Weak Bloch property for discrete magnetic Schrödinger operators
scientific article; zbMATH DE number 1619254

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    Weak Bloch property for discrete magnetic Schrödinger operators (English)
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    18 May 2002
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    Laplace-Beltrami operator
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    discrete spectral resolution
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    spectra of graph
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    The authors study the spectral properties of the discrete magnetic Laplacian in terms of the growth function of a graph. They also study the behaviour of the bottom of the spectrum as a function of the magnetic flux. They exhibit various examples which have interesting properties.
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