New results on the Lieb-Thirring inequality
New results on the Lieb-Thirring inequality
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Mathieu Lewin, Universite Paris-Dauphine
Online talk
The Lieb-Thirring inequality provides a control on the听negative eigenvalues of Schr枚dinger operators in terms of the size of听
the potential. It plays a central role in the analysis of large quantum听systems. In this talk I will first introduce the inequality and then听focus the discussion on its best constant. After reviewing what is听believed, what is known and what is open, I will present new results on听the value of the best constant. Collaboration with Rupert L. Frank听(Munich, Germany) and David Gontier (ENS & Paris-Dauphine, France).