539 citations · 6.8k across the 160 of their papers we have counts for
164 papers
Stability estimate for the Lane-Emden inequality
Eric Carlen, Mathieu Lewin, Elliott H. Lieb +1
The Lane-Emden inequality controls in terms of the and norms of . We provide a remainder estimate for this inequa…
A trace inequality of Ando, Hiai and Okubo and a monotonicity property of the Golden-Thompson inequality
Eric A. Carlen, Elliott H. Lieb
The Golden-Thompson trace inequality which states that has proved to be very useful in quantum statistical mechanics. Golden used it to show that t…
Improved Lieb-Oxford bound on the indirect and exchange energies
Mathieu Lewin, Elliott H. Lieb, Robert Seiringer
The Lieb-Oxford inequality provides a lower bound on the Coulomb energy of a classical system of identical charges only in terms of their one-particle density. We prove here a…
On the extension of the FKG inequality to functions
Elliott H Lieb, Siddhartha Sahi
The 1971 Fortuin-Kasteleyn-Ginibre (FKG) inequality for two monotone functions on a distributive lattice is well known and has seen many applications in statistical mechanics and o…
A simplified approach to the repulsive Bose gas from low to high densities and its numerical accuracy
Eric A. Carlen, Markus Holzmann, Ian Jauslin +1
In 1963, a Simple Approach was developed to study the ground state energy of an interacting Bose gas. It consists in the derivation of an Equation, which is not based on perturbati…
Analysis of a simple equation for the ground state of the Bose gas II: Monotonicity, Convexity and Condensate Fraction
Eric A. Carlen, Ian Jauslin, Elliott H. Lieb
In a recent paper we studied an equation (called the "simple equation") introduced by one of us in 1963 for an approximate correlation function associated to the ground state of an…