Lieb-Thirring inequalities on some manifolds (Q414725)
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scientific article; zbMATH DE number 6033370
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lieb-Thirring inequalities on some manifolds |
scientific article; zbMATH DE number 6033370 |
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Lieb-Thirring inequalities on some manifolds (English)
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11 May 2012
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Summary: We prove Lieb-Thirring inequalities with improved constants on the two-dimensional \(\mathbb S^2\) sphere and the two-dimensional torus \(\mathbb T^2\). In the one-dimensional periodic case we obtain a simultaneous bound for the negative trace and the number of negative eigenvalues.
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Lieb-Thirring inequalities
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Schrödinger operators
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0.9324211
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0.92569923
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0.91114056
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0.9091855
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0.90647364
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0.9011152
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