QMATH Lecture: Lieb-Thirring inequality and gradient correction – University of Copenhagen

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QMATH Lecture: Lieb-Thirring inequality and gradient correction

Speaker: Phan Thanh Nam from LMU München

Title: Lieb-Thirring inequality and gradient correction

Abstract:
We discuss the connection between the kinetic energy of a many-body quantum fermionic state and its semiclassical approximation. 

It is conjectured by Lieb and Thirring that the latter is always a lower bound for the former. We will prove this lower bound up to a gradient error term which is of smaller order.