539 citations · 6.8k across the 160 of their papers we have counts for
6 papers · 1 filter
Hardy-Lieb-Thirring inequalities for fractional Schroedinger operators
Rupert L. Frank, Elliott H. Lieb, Robert Seiringer
We show that the Lieb-Thirring inequalities on moments of negative eigenvalues of Schroedinger-like operators remain true, with possibly different constants, when the critical Hard…
The Mathematics of the Bose Gas and its Condensation
Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej +1
This book surveys results about the quantum mechanical many-body problem of the Bose gas that have been obtained by the authors over the last seven years. These topics are relevant…
Bose-Einstein Condensation and Spontaneous Symmetry Breaking
Elliott H. Lieb, Robert Seiringer, Jakob Yngvason
After recalling briefly the connection between spontaneous symmetry breaking and off-diagonal long range order for models of magnets a general proof of spontaneous breaking of gaug…
Elementary Proof of a Theorem of Jean Ville
Elliott H. Lieb, Daniel Osherson, Scott Weinstein
Considerable thought has been devoted to an adequate definition of the class of infinite, random binary sequences (the sort of sequence that almost certainly arises from flipping a…
Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
Rupert L. Frank, Ari Laptev, Elliott H. Lieb +1
Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Schrödinger operator with a complex-valued potential.
Ising models with long-range dipolar and short-range ferromagnetic interactions
Alessandro Giuliani, Joel L. Lebowitz, Elliott H. Lieb
We study the ground state of a --dimensional Ising model with both long range (dipole--like) and nearest neighbor ferromagnetic (FM) interactions. The long range interaction is…