QLunch: Johannes Agerskov

Speaker: Johannes Agerskov from QMATH

Title: The ground state energy of dilute 1d many-body quantum systems

Abstract: Dilute Bose and Fermi gases are well-studied subjects in the mathematical physics literature. In two and three dimensions, asymptotic formulas for the bosonic ground state energy are known to leading and next-to-leading order in the diluteness parameters respectively. I will in this talk present joint work with Robin Reuvers and Jan Philip Solovej, in which we derive asymptotic formulas for the one dimensional dilute gas consisting of either fermions or bosons.