Rayleigh estimates for differential operators on graphs (Q402278)
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scientific article; zbMATH DE number 6335032
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rayleigh estimates for differential operators on graphs |
scientific article; zbMATH DE number 6335032 |
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Rayleigh estimates for differential operators on graphs (English)
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27 August 2014
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Summary: We study the spectral gap, i.e. the distance between the two lowest eigenvalues for Laplace operators on metric graphs. A universal lower estimate for the spectral gap is proven and it is shown that it is attained if the graph is formed by just one interval. Uniqueness of the minimizer allows to prove a geometric version of the Ambartsumian theorem derived originally for Schrödinger operators.
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quantum graph
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Eulerian path
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spectral gap
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0.8874698
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0.8854697
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0.88428867
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0.88294077
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0.88150716
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0.8807571
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0.87661713
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