The ground state energy of the weakly interacting Bose gas at high density

Abstract

We prove the Lee-Huang-Yang formula for the ground state energy of the 3D Bose gas with repulsive interactions described by the exponential function, in a simultaneous limit of weak coupling and high density. In particular, we show that the Bogoliubov approximation is exact in an appropriate parameter regime, as far as the ground state energy is concerned.

RevTeX4, 16 pages

References in corpus (1)

• The ground state energy of a low density Bose gas: a second order upper bound

Cited by in corpus (4)

• The Second Order Upper Bound for the Ground Energy of a Bose Gas
• Rigorous Upper Bound on the Critical Temperature of Dilute Bose Gases
• A simplified approach to the repulsive Bose gas from low to high densities and its numerical accuracy
• Low dimensional interacting bosons