539 citations · 6.8k across the 160 of their papers we have counts for
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The Bose gas: A subtle many-body problem
Elliott H. Lieb
Now that the properties of the ground state of quantum-mechanical many-body systems (bosons) at low density, , can be examined experimentally it is appropriate to revisit some o…
Ground States in Non-relativistic Quantum Electrodynamics
Marcel Griesemer, Elliott H. Lieb, Michael Loss
The excited states of a charged particle interacting with the quantized electromagnetic field and an external potential all decay, but such a particle should have a true ground sta…
Ground State Energy of the One-Component Charged Bose Gas
Elliott H. Lieb, Jan Philip Solovej
The model considered here is the `jellium' model in which there is a uniform, fixed background with charge density in a large volume and in which particles of elec…
A Rigorous Derivation of the Gross-Pitaevskii Energy Functional for a Two-Dimensional Bose Gas
Elliott H. Lieb, Robert Seiringer, Jakob Yngvason
We consider the ground state properties of an inhomogeneous two-dimensional Bose gas with a repulsive, short range pair interaction and an external confining potential. In the limi…
Thomas-Fermi Theory
Elliott H. Lieb
This is a brief review of the Thomas-Fermi ("statistical" or "density functional") theory of atoms and molecules.
Lieb-Thirring Inequalities
Elliott H. Lieb
This is a brief review of Lieb-Thirring inequalities for eigenvalues of the Schroedinger operator and lower bounds for the quantum mechanical kinetic energy (and some generalizatio…