5 citations · 5 across the 5 of their papers we have counts for
9 papers
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…
The Mean-Field Approximation in Quantum Electrodynamics. The no-photon case
Christian Hainzl, Mathieu Lewin, Jan Philip Solovej
We study the mean-field approximation of Quantum Electrodynamics, by means of a thermodynamic limit. The QED Hamiltonian is written in Coulomb gauge and does not contain any normal…
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…
New coherent states and a new proof of the Scott correction
Jan Philip Solovej, Wolfgang L Spitzer
We introduce new coherent states and use them to prove semi-classical estimates for Schrödinger operators with regular potentials. This can be further applied to the Thomas-Fermi p…