539 citations · 6.8k across the 160 of their papers we have counts for
5 papers · 2 filters
Some trace inequalities for exponential and logarithmic functions
Eric A. Carlen, Elliott H. Lieb
Consider a function of pairs of positive matrices with values in the positive matrices such that whenever and commute Our first main result gives…
Nematic liquid crystal phase in a system of interacting dimers and monomers
Ian Jauslin, Elliott H. Lieb
We consider a monomer-dimer system with a strong attractive dimer-dimer interaction that favors alignment. In 1979, Heilmann and Lieb conjectured that this model should exhibit a n…
Statistical Mechanics of the Uniform Electron Gas
Mathieu Lewin, Elliott H. Lieb, Robert Seiringer
In this paper we define and study the classical Uniform Electron Gas (UEG), a system of infinitely many electrons whose density is constant everywhere in space. The UEG is defined…
Norms of quantum Gaussian multi-mode channels
Rupert L. Frank, Elliott H. Lieb
We compute the norm of a general Gaussian gauge-covariant multi-mode channel for any , where is a Schatten space. As…
Local incompressibility estimates for the Laughlin phase
Elliott Lieb, Nicolas Rougerie, Jakob Yngvason
We prove sharp density upper bounds on optimal length-scales for the ground states of classical 2D Coulomb systems and generalizations thereof. Our method is new, based on an auxil…