11 citations · 31 across the 11 of their papers we have counts for
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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…
Some Matrix Rearrangement Inequalities
Eric Carlen, Elliott H. Lieb
We investigate a rearrangement inequality for pairs of n-square matrices: Let |A\|_p denote the C^p trace norm of an n-square matrix A. Consider the quantity |A+B|_p^p + |A-B|_p^p.…
Quantum Mechanics, The Stability of Matter and Quantum Electrodynamics
Elliott H. Lieb
Much progress has been made in the last few decades in developing the necessary mathematics for understanding the full implications of the quantum-mechanical many-body problem and…