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Lieb-Thirring inequalities with improved constants - MaRDI portal

Lieb-Thirring inequalities with improved constants (Q952517)

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Lieb-Thirring inequalities with improved constants
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    Lieb-Thirring inequalities with improved constants (English)
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    12 November 2008
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    Summary: Following Eden and Foias, we obtain a matrix version of a generalized Sobolev inequality in one-dimension. This allows us to improve on the known estimates of best constants in Lieb-Thirring inequalities for the sum of the negative eigenvalues for multi-dimensional Schrödinger operators.
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    Sobolev inequalities
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    Schrödinger operator
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    Lieb-Thirring inequalities
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