59 citations · 149 across the 13 of their papers we have counts for
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Ground State Energy of the Low Density 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…
Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice
M. Aizenman, E. H. Lieb, R. Seiringer +2
One of the most remarkable recent developments in the study of ultracold Bose gases is the observation of a reversible transition from a Bose Einstein condensate to a state compose…
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…
Upper Bounds to the Ground State Energies of the One- and Two-Component Charged Bose Gases
Jan Philip Solovej
We prove upper bounds on the ground state energies of the one- and two-component charged Bose gases. The upper bound for the one-component gas agrees with the high density asymptot…
The Energy of Charged Matter
Jan Philip Solovej
In this talk I will discuss some of the techniques that have been developed over the past 35 years to estimate the energy of charged matter. These techniques have been used to solv…
Bose-Einstein Quantum Phase Transition in an Optical Lattice Model
Michael Aizenman, Elliott H. Lieb, Robert Seiringer +2
Bose-Einstein condensation (BEC) in cold gases can be turned on and off by an external potential, such as that presented by an optical lattice. We present a model of this phenomeno…