Benjamin Schlein

collaborators

2 papers

math-ph2025

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas

Morris Brooks, Jakob Oldenburg, Diane Saint Aubin +1

We consider a dilute Bose gas in the thermodynamic limit. We prove an upper bound for the ground state energy per unit volume, capturing the expected third order term, as predicted…

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 $ρ > 0$ , interacting through a repulsive potential $V \in L^{2} (R^{3})$ with scattering length $a > 0$ . We prove an upper bound fo…