Mathematics in quantum chemistry: selected topics

Abstract

The main objective of this presentation is to introduce to you some mathematical tools and concepts helpful to understand the foundations of quantum chemistry. We will start with a somewhat unusual approach to the hydrogen atom, resulting in the obvious quantization conditions for angular momentum and energy. Later we try to extend this approach to a few-electron systems with particular focus on the analytical approach and on the algebraization techniques. The ultimate goal of the presentation will be to review the existing wave-function based quantum chemical techniques from the mathematical perspective.

Recorded presentation