# QLunch: A simple 2nd order lower bound to the energy of dilute Bose gases – University of Copenhagen

QMath > Events > Quantum Lunch > w40 Søren Fournais

# QLunch: A simple 2nd order lower bound to the energy of dilute Bose gases

Title: A simple 2nd order lower bound to the energy of dilute Bose gases

Abstract: We consider a system of non-relativistic bosons interacting through a regular, positive potential $v$ with scattering length $a$.

We give a simple proof that the ground state energy density satisfies the bound $e(\rho) \geq 4\pi a \rho^2 (1- C \sqrt{\rho a^3} \,)$.

This talk is based on joint work with Birger Brietzke and Jan Philip Solovej.