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Young Seminar
Organizers: Douglas Lundholm (IHP) & Julien Sabin (Cergy)


Lukas Schimmer (Imperial College London): "Spectral inequalities for discrete Schrödinger operators with matrix-valued potentials"
Wednesday 05 June 2013, 15:30 - 16:30
Amphi Darboux


Abstract: In this talk we will present a new, direct proof of a sharp inequality for discrete Schrödinger operators which has previously been established using Case's sum rules. The result provides an upper bound for the sum of the eigenvalues to the power 3/2. We will also consider inequalities for higher powers of the eigenvalues and compare our results to Lieb--Thirring inequalities proven by D. Hundertmark and B. Simon.