539 citations · 6.8k across the 160 of their papers we have counts for
Showing 2011 · math-phShow all
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math-ph2011★ 35 cited
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…
math-ph2011★ 27 cited
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…
math-ph2011★ 10 cited
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…