52 citations · 257 across the 43 of their papers we have counts for
8 papers · 1 filter
The density-density response function in time-dependent density functional theory: mathematical foundations and pole shifting
Thiago Carvalho Corso, Mi-Song Dupuy, Gero Friesecke
We establish existence and uniqueness of the solution to the Dyson equation for the density-density response function in time-dependent density functional theory (TDDFT) in the ran…
Smoothing of transport plans with fixed marginals and rigorous semiclassical limit of the Hohenberg-Kohn functional
Codina Cotar, Gero Friesecke, Claudia Klüppelberg
We prove rigorously that the exact N-electron Hohenberg-Kohn density functional converges in the strongly interacting limit to the strictly correlated electrons (SCE) functional, a…
Classification of particle numbers with unique Heitmann-Radin minimizer
Lucia De Luca, Gero Friesecke
We show that minimizers of the Heitmann-Radin energy (R. C. Heitmann, C. Radin, J. Stat. Phys. 22, 281-287, 1980) are unique if and only if the particle number N belongs to an infi…
Infinite-body optimal transport with Coulomb Cost
Codina Cotar, Gero Friesecke, Brendan Pass
We introduce and analyze symmetric infinite-body optimal transport (OT) problems with cost function of pair potential form. We show that for a natural class of such costs, the opti…
Cnoidal Waves on Fermi-Pasta-Ulam Lattices
Gero Friesecke, Alice Mikikits-Leitner
We study a chain of infinitely many particles coupled by nonlinear springs, obeying the equations of motion [\ddot{q}_n = V'(q_{n+1}-q_n) - V'(q_n-q_{n-1})] with generic nearest-ne…
On the Ehrenfest theorem of quantum mechanics
Gero Friesecke, Mario Koppen
We give a mathematically rigorous derivation of Ehrenfest's equations for the evolution of position and momentum expectation values, under general and natural assumptions which inc…