11 citations · 31 across the 11 of their papers we have counts for
23 papers
An Inequality of Hadamard Type for Permanents
Eric Carlen, Elliott H. Lieb, Michael Loss
Let F be an N x N complex matrix whose jth column is the vector f_j in C^N. Let |f_j|^2 denote the sum of the absolute squares of the entries of f_j. Hadamard's inequality for dete…
Ground-State Energy of a Dilute Fermi Gas
Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej
Recent developments in the physics of low density trapped gases make it worthwhile to verify old, well known results that, while plausible, were based on perturbation theory and as…
Ferromagnetism of the Hubbard Model at Strong Coupling in the Hartree-Fock Approximation
Volker Bach, Elliott H. Lieb, Marcos V. Travaglia
As a contribution to the study of Hartree-Fock theory we prove rigorously that the Hartree-Fock approximation to the ground state of the d-dimensional Hubbard model leads to satura…
A Sharp analog of Young's Inequality on and Related Entropy Inequalities
Eric Carlen, Elliott Lieb, Michael Loss
We prove a sharp analog of Young's inequality on , and deduce from it certain sharp entropy inequalities. The proof turns on constructing a nonlinear heat flow that drives tri…
The thermodynamic limit for matter interacting with Coulomb forces and with the quantized electromagnetic field: I. The lower bound
Elliott H. Lieb, Michael Loss
The proof of the existence of the thermodynamic limit for electrons and nuclei interacting via the Coulomb potential, in the framework of non-relativistic quantum mechanics, was ac…
The Quantum-mechanical Many Body Problem: The Bose Gas
Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej +1
This article gives a detailed presentation of the authors' recent results on the ground state properties of the Bose gas. It is a much expanded version of a talk given by one of th…