Binding energy of homogeneous Bose gas

Abstract

We compute the energy needed to add or remove one particle from a homogeneous system of $N$ bosons on a torus. We focus on the mean-field limit when $N$ becomes large and the strength of particle interactions is proportional to $N^{-1}$, which allows us to justify Bogoliubov's approximation.

13 pages

References in corpus (3)

• The Second Order Upper Bound for the Ground Energy of a Bose Gas
• The ground state energy of a low density Bose gas: a second order upper bound
• The ground state energy of the weakly interacting Bose gas at high density

Cited by in corpus (4)

• Asymptotic expansion of low-energy excitations for weakly interacting bosons
• Asymptotic analysis of the weakly interacting Bose gas: A collection of recent results and applications
• Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas
• A Note on the Binding Energy for Bosons in the Mean-field Limit