539 citations · 6.8k across the 160 of their papers we have counts for
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Entropy and the uncertainty principle
Rupert L. Frank, Elliott H. Lieb
We generalize, improve and unify theorems of Rumin, and Maassen--Uffink about classical entropies associated to quantum density matrices. These theorems refer to the classical entr…
A positive density analogue of the Lieb-Thirring inequality
Rupert L. Frank, Mathieu Lewin, Elliott H. Lieb +1
The Lieb-Thirring inequalities give a bound on the negative eigenvalues of a Schrödinger operator in terms of an norm of the potential. This is dual to a bound on the -n…
Non-Abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods
Elliott H. Lieb, Yisong Yang
Vortices in supersymmetric gauge field theory are important constructs in a basic conceptual phenomenon commonly referred to as the dual Meissner effect which is responsible for co…
Checkerboards, stripes and corner energies in spin models with competing interactions
Alessandro Giuliani, Joel L. Lebowitz, Elliott H. Lieb
We study the zero temperature phase diagram of Ising spin systems in two dimensions in the presence of competing interactions, long range antiferromagnetic and nearest neighbor fer…
Binding of Polarons and Atoms at Threshold
Rupert L. Frank, Elliott H. Lieb, Robert Seiringer
If the polaron coupling constant is large enough, bipolarons or multi-polarons will form. When passing through the critical from above, does the radius of the system simp…
Asymmetric Covariance Estimates of Brascamp-Lieb Type and Related Inequalities for Log-concave Measures
Eric A. Carlen, Dario Cordero-Erausquin, Elliott H. Lieb
An inequality of Brascamp and Lieb provides a bound on the covariance of two functions with respect to log-concave measures. The bound estimates the covariance by the product of th…
Possible Lattice Distortions in the Hubbard Model for Graphene
Rupert L. Frank, Elliott H. Lieb
The Hubbard model on the honeycomb lattice is a well known model for graphene. Equally well known is the Peierls type of instability of the lattice bond lengths. In the context of…
Energy Cost to Make a Hole in the Fermi Sea
Rupert L. Frank, Mathieu Lewin, Elliott H. Lieb +1
The change in energy of an ideal Fermi gas when a local one-body potential is inserted into the system, or when the density is changed locally, are important quantities in condense…