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Density of states in spectral geometry - MaRDI portal

Density of states in spectral geometry (Q1313263)

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scientific article; zbMATH DE number 490631
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Density of states in spectral geometry
scientific article; zbMATH DE number 490631

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    Density of states in spectral geometry (English)
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    16 May 1994
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    It is well known that the concept of integrated density of states was introduced by physicists in quantum theory of solids. In the paper under review a geometrical formalization of this notion is proposed and for the particular case of the manifolds with compact quotient some necessary and sufficient conditions for its existence are pointed out.
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    integrated density of states
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    Schrödinger operator
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    compact quotient
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