Density Functional Theory: some recent results

Abstract: The quantum electrons in an atom or a molecule are in principle described by the Schrödinger multi-particle linear equation. Unfortunately, in most cases it is essentially impossible to find a sufficiently precise numerical approximation of the solution, due to the very high dimensionality of the problem. It is absolutely necessary to resort to approximate models, most of which being nonlinear. Density Functional Theory (DFT) is probably the most successful and widely used method in Chemistry and Physics. In this talk I will explain what DFT is and outline its mathematical formulation. I will then describe some recent results obtained in collaboration with Elliott H. Lieb (Princeton) and Robert Seiringer (IST Austria).

mathematical physics

Audience: researchers in the discipline

( video )

One world IAMP mathematical physics seminar

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