99 citations · 390 across the 29 of their papers we have counts for
8 papers · 1 filter
Analysis of a simple equation for the ground state energy of the Bose gas
Eric Carlen, Ian Jauslin, Elliott H. Lieb
In 1963 a partial differential equation with a convolution non-linearity was introduced in connection with a quantum mechanical many-body problem, namely the gas of bosonic particl…
A note on a theorem of M. Christ
Rupert L. Frank, Elliott H. Lieb
This note is a supplement to our paper `Proof of spherical flocking based on quantitative rearrangement inequalities'. Recently, M. Christ has derived a deep result concerning stab…
Proof of spherical flocking based on quantitative rearrangement inequalities
Rupert L. Frank, Elliott H. Lieb
Our recent work on the Burchard-Choksi-Topaloglu flocking problem showed that in the large mass regime the ground state density profile is the characteristic function of some set.…
Wehrl-type coherent state entropy inequalities for and its subgroup
Elliott H. Lieb, Jan Philip Solovej
We discuss the Wehrl-type entropy inequality conjecture for the group and for its subgroup (or affine group), their representations on , and th…
Floating Wigner crystal with no boundary charge fluctuations
Mathieu Lewin, Elliott H. Lieb, Robert Seiringer
We modify the "floating crystal" trial state for the classical Homogeneous Electron Gas (also known as Jellium), in order to suppress the boundary charge fluctuations that are know…
The Local Density Approximation in Density Functional Theory
Mathieu Lewin, Elliott H. Lieb, Robert Seiringer
We give the first mathematically rigorous justification of the Local Density Approximation in Density Functional Theory. We provide a quantitative estimate on the difference betwee…