539 citations · 6.8k across the 160 of their papers we have counts for
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math-ph2007★ 30 cited
Periodic minimizers in 1D local mean field theory
Alessandro Giuliani, Joel L. Lebowitz, Elliott H. Lieb
Using reflection positivity techniques we prove the existence of minimizers for a class of mesoscopic free-energies representing 1D systems with competing interactions. All minimiz…
math-ph2007★ 4 cited
Number of Bound States of Schroedinger Operators with Matrix-Valued Potentials
Rupert L. Frank, Elliott H. Lieb, Robert Seiringer
We give a CLR type bound on the number of bound states of Schroedinger operators with matrix-valued potentials using the functional integral method of Lieb. This significantly impr…