Mathematical Challenges in Density Functional Theory
Mathieu Lewin (CEREMADE, Univ. Paris Dauphine)
| When |
Jun 12, 2023
from 11:00 to 12:00 |
|---|---|
| Where | Salle des Thèses |
| Attendees |
Mathieu Lewin |
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Schrödinger's equation fits on just one line and it is supposed to accurately describe the behavior of most atoms and molecules of our world. But it is essentially impossible to simulate to a high precision, due to its very high dimensionality. In this talk I will give a general overview of Density Functional Theory (DFT), which is the main technique used nowadays to approximate Schrödinger's equation. I will particularly discuss the mathematical structure of DFT and how rigorous results have played an important role in the development of DFT.