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Mathematical Physics Seminar

Rupert L. Frank - Recent results and open problems on Lieb-Thirring inequalities

Location:  zoom
Date & time: Wednesday, 18 November 2020 at 10:45AM - 11:45PM

Recent results and open problems on Lieb-Thirring inequalities

Wednesday, November 18, 2020 at 10:45am - 11:45am

Rupert L. Frank – Caltech

Wednesday, November 18, 10:45AM

"Recent results and open problems on Lieb-Thirring inequalities"

Lieb-Thirring inequalities bound sums of powers of eigenvalues of (one-particle) Schrödinger operators in terms of integrals of the potential. We survey the problem of sharp constants in these inequalities and discuss some recent progress. We include some negative results on the so-called one-particle constant and a novel formulation as a periodic problem with a possible phase transition. These last results were obtained jointly with D. Gontier and M. Lewin.

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