539 citations · 6.8k across the 160 of their papers we have counts for
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Universal Functionals in Density Functional Theory
Mathieu Lewin, Elliott H. Lieb, Robert Seiringer
In this chapter we first review the Levy-Lieb functional, which gives the lowest kinetic and interaction energy that can be reached with all possible quantum states having a given…
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…
Inequalities that sharpen the triangle inequality for sums of functions in
Eric A. Carlen, Rupert L. Frank, Elliott H. Lieb
We study inequalities that sharpen the triangle inequality for sums of functions in .
Divergence of the effective mass of a polaron in the strong coupling limit
Elliott H. Lieb, Robert Seiringer
We consider the Fröhlich model of a polaron, and show that its effective mass diverges in the strong coupling limit.