539 citations · 6.8k across the 160 of their papers we have counts for
4 papers · 2 filters
Ground state energy of large polaron systems
Rafael D. Benguria, Rupert L. Frank, Elliott H. Lieb
The last unsolved problem about the many-polaron system, in the Pekar-Tomasevich approximation, is the case of bosons with the electron-electron Coulomb repulsion of strength exact…
Some Operator and Trace Function Convexity Theorems
Eric A. Carlen, Rupert L. Frank, Elliott H. Lieb
We consider convex trace functions where and are positive matrices and ask when these functions are convex or conca…
Improved Lieb-Oxford exchange-correlation inequality with gradient correction
Mathieu Lewin, Elliott H. Lieb
We prove a Lieb-Oxford-type inequality on the indirect part of the Coulomb energy of a general many-particle quantum state, with a lower constant than the original statement but in…
Entropy Meters and the Entropy of Non-extensive Systems
Elliott H. Lieb, Jakob Yngvason
In our derivation of the second law of thermodynamics from the relation of adiabatic accessibility of equilibrium states we stressed the importance of being able to scale a system'…