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The Huang-Yang formula for the low-density Fermi gas: upper bound
Emanuela L. Giacomelli, Christian Hainzl, Phan Thành Nam +1
We study the ground state energy of a gas of spin fermions with repulsive short-range interactions. We derive an upper bound that agrees, at low density , with the Huang-Y…
math-ph2024
Upper Bound for the Free Energy of Dilute Bose Gases at Low Temperature
Florian Haberberger, Christian Hainzl, Benjamin Schlein +1
We consider a Bose gas at density , interacting through a repulsive potential with scattering length . We prove an upper bound fo…
math-ph2024
The Correlation Energy of the Electron Gas in the Mean-Field Regime
Martin Ravn Christiansen, Christian Hainzl, Phan Thành Nam
We prove a rigorous lower bound on the correlation energy of interacting fermions in the mean-field regime for a wide class of singular interactions, including the Coulomb potentia…