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Lieb-Thirring inequality for wave functions vanishing on the diagonal set

Date: Thursday, February 21, 2019 16:00 - 18:00
Speaker: Simon Larson (KTH Stockholm)
Location: Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series: Mathematics and CS Seminar
Host: Robert Seiringer
Contact: WHEATLEY Susanne
Lab building west seminar room

Abstract:

The Lieb-Thirring inequality is generalized to functions which vanish on the diagonal set of the many-body configuration space, requiring only that the order of the operator is large enough so that the condition becomes non-trivial. The proof is based on a reduction of the proof of a Lieb-Thirring inequality valid for scale-covariant systems satisfying weak' assumptions: translation invariance, superadditivity, and a priori positivity.

This is joint work with Douglas Lundholm and Phan Thanh Nam.
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