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.

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Financial Support

The Cooper Union for the Advancement of Science and Art is pleased to provide support for the 2024 VWSCC through a generous donation from Alan Fortier.

We thank Leibniz Institute for Catalysis (LIKAT) and CECAM for their support.