539 citations · 6.8k across the 160 of their papers we have counts for
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Singlets and reflection symmetric spin systems
Elliott H. Lieb, Peter Schupp
We rigorously establish some exact properties of reflection symmetric spin systems with antiferromagnetic crossing bonds: At least one ground state has total spin zero and a positi…
Self-energy of electrons in non-perturbative QED
Elliott Lieb, Michael Loss
Various models of charged particles interacting with a quantized, ultraviolet cutoff radiation field (but not with each other) are investigated. Upper and lower bounds are found fo…
Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional
Elliott H. Lieb, Robert Seiringer, Jakob Yngvason
The ground state properties of interacting Bose gases in external potentials, as considered in recent experiments, are usually described by means of the Gross-Pitaevskii energy fun…
Ground state properties of a fully frustrated quantum spin system
Elliott H. Lieb, Peter Schupp
We find that ground states of the quantum Heisenberg antiferromagnet on the geometrically frustrated pyrochlore checkerboard lattice are singlets and can be expressed in terms of p…