Some recent mathematical results in Density Functional Theory

Density Functional Theory (DFT) is a method used to approximate solutions to the linear Schrödinger equation which describes the behavior of $N$ quantum electrons in an atom or a molecule. It is employed everywhere in quantum chemistry and physics and it has become the method of choice to simulate matter at the microscopic scale.

In this talk I will explain how to formulate DFT as a rigorous mathematical theory and will present some recent results obtained in collaboration with Elliott H. Lieb (Princeton) and Robert Seiringer (IST Austria).