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Universal monotonicity of eigenvalue moments and sharp Lieb-Thirring inequalities - MaRDI portal

Universal monotonicity of eigenvalue moments and sharp Lieb-Thirring inequalities (Q604435)

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Universal monotonicity of eigenvalue moments and sharp Lieb-Thirring inequalities
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    Universal monotonicity of eigenvalue moments and sharp Lieb-Thirring inequalities (English)
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    11 November 2010
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    Summary: We show that phase space bounds on the eigenvalues of Schrödinger operators can be derived from universal bounds recently obtained by E. M. Harrell and the author via a monotonicity property with respect to coupling constants. In particular, we provide a new proof of sharp Lieb-Thirring inequalities.
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    universal bounds for eigenvalues
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    spectral gap
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    phase space bounds
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    Lieb-Thirring inequalities
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    Schrödinger operators
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