From the liquid drop model for nuclei to the ionization conjecture for atoms
From the liquid drop model for nuclei to the ionization conjecture for atoms

Rupert Frank , Caltech
Fine Hall 314
The liquid drop model is an isoperimetric problem with a competing nonlocal term. It was originally introduced in the nuclear physics literature in 1930 and has received a lot of attention recently as an interesting problem in the calculus of variations. We discuss some new results and open problems. We show how the insights from this problem allowed us to prove the ionization conjecture in a certain model in density functional theory. The talk will be nontechnical and does not assume any knowledge in physics.