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Universal monotonicity of eigenvalue moments and sharp Lieb–Thirring inequalities

Joachim Stubbe (2010)

Journal of the European Mathematical Society

We show that phase space bounds on the eigenvalues of Schr¨odinger 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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