Mar 20 – 22, 2024
Institut de Mathématiques de Toulouse
Europe/Paris timezone

Strictly-Correlated Electrons from the viewpoint of optimal transport and their dissociation at infinity

Mar 22, 2024, 9:50 AM
30m
Amphithéâtre Laurent Schwartz, bâtiment 1R3 (Institut de Mathématiques de Toulouse)

Amphithéâtre Laurent Schwartz, bâtiment 1R3

Institut de Mathématiques de Toulouse

118 route de Narbonne\n31062 Toulouse Cedex

Speaker

Rodrigue Lelotte

Description

The Strictly-Correlated Electrons (SCE) is a formalism of Density-Functional Theory (DFT) used to approximate ground-state energies of strongly-correlated quantum systems. From a mathematical viewpoint, it is obtained as the semi-classical limit of the Levy-Lieb functional, which is one of the central objects to DFT. I will present this problem, which arises as a multimarginal optimal transport of a special kind, and present a recent result of mine on the dissociation at infinity of such systems, reminiscent of the ionisation conjecture in quantum physics.

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