539 citations · 6.8k across the 160 of their papers we have counts for
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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…
Equivalent forms of the Bessis-Moussa-Villani conjecture
Elliott H. Lieb, Robert Seiringer
The BMV conjecture for traces, which states that is the Laplace transform of a positive measure, is shown to be equivalent to two other statements: (i) The polynomi…
The Stability of Matter and Quantum Electrodynamics
Elliott H. Lieb
A survey of the stability of matter problem is given, starting with the stability of the hydrogen atom. The stablity of bulk matter with Coulomb potentials, with or without relativ…
The one-dimensional Hubbard model: A reminiscence
E. H. Lieb, F. Y. Wu
In 1968 we published the solution of the ground state energy and wave function of the one-dimensional Hubbard model, and we also showed that there is no Mott transition in this mod…
Polarization of interacting bosons with spin
Eli Eisenberg, Elliott H. Lieb
We demonstrate rigorously that in the absence of explicit spin-dependent forces one of the ground states of interacting bosons with spin is always fully polarized -- however compli…
Poincare Inequalities in Punctured Domains
Elliott H. Lieb, Robert Seiringer, Jakob Yngvason
The classic Poincare inequality bounds the -norm of a function in a bounded domain in terms of some -norm of its gradient in . We generalize this i…
Superfluidity in Dilute Trapped Bose Gases
Elliott H. Lieb, Robert Seiringer, Jakob Yngvason
A commonly used theoretical definition of superfluidity in the ground state of a Bose gas is based on the response of the system to an imposed velocity field or, equivalently, to t…
The Ground State of the Bose Gas
Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej +1
Now that the low temperature properties of quantum-mechanical many-body systems (bosons) at low density, , can be examined experimentally it is appropriate to revisit some of th…
The Mathematical Structure of the Second Law of Thermodynamics
Elliott H. Lieb, Jakob Yngvason
The essence of the second law of classical thermodynamics is the `entropy principle' which asserts the existence of an additive and extensive entropy function, S, that is defined f…