# Analysis and PDE seminar

Date:

02/13/2018 - 11:00am to 12:00pm

Location:

POT 745

Speaker(s) / Presenter(s):

Rafael Benguria, Universidad Catolica de Chile

Gradient Corrections in Atomic Physics

During the last few years there has been a systematic pursuit for sharp estimates

of the energy components of atomic systems in terms of their single particle density.

The common feature of these estimates is that they include corrections that

depend on the gradient of the density. In this talk I will review these results.

The most recent result is the sharp estimate of P.T. Nam on the kinetic energy.

I will also present some recent results concerning geometric estimates

for generalized Poincaré inequalities obtained in collaboration with C. Vallejos and H. Van Den Bosch.

These geometric estimates are a useful tool to estimate the numerical value of the constant of

Nam's gradient correction term.