11 citations · 31 across the 11 of their papers we have counts for
15 papers · 1 filter
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 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…
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…
Existence of Atoms and Molecules in Non-Relativistic Quantum Electrodynamics
Elliott H. Lieb, Michael Loss
We show that the Hamiltonian describing N nonrelativistic electrons with spin, interacting with the quantized radiation field and several fixed nuclei with total charge Z has a gro…
Bose-Einstein Condensation of Dilute Gases in Traps
Elliott H. Lieb, Robert Seiringer
The ground state of a gas of Bosons confined in an external trap potential and interacting via repulsive two-body forces has recently been shown to exhibit complete Bose-Einstein c…