Speaker: Håkon Richard Fredheim
Title: Reduced Density Matrix Functional Theory and a Reduced Formulation of Density Functional Theory
Abstract: I present my recent work with Simen Kvaal on density functional theory. In this work, we formulate a novel mathematical framework for DFT, which involves the introduction of a Banach space for density matrices with finite kinetic energy. We use this framework to prove certain basic properties of the universal density functional like lower semi-continuity. Our formalism refines that of E.H. Lieb [E.H. Lieb, Int. J. Quant. Chem. 24(1983), pp.243—277], and is applicable to a wide variety of models.
Paper: https://arxiv.org/abs/2510.12242