Project Details
Projekt
Rigorous Approximations for Fermionic Kinetic Energies (A02)
Subject Area
Mathematics
Term
since 2023
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 470903074
Lieb-Thirring inequalities are a mathematical quantification of the uncertainty and Pauli exclusion principles in quantum mechanics. In this project, we study several questions related to the sharp constants in these inequalities. The long term goal is to make progress towards the Lieb-Thirring conjecture which, among other things, predicts a fundamental difference between fermions in dimensions one and two on one hand and higher dimensions on the other hand. The mathematical tools proposed belong to microlocal and semiclassical analysis, as well as to regularity theory for partial differential equations.
DFG Programme
CRC/Transregios
Applicant Institution
Ludwig-Maximilians-Universität München
Project Head
Professor Dr. Rupert Frank
