Study of a simple equation that describes the ground-state energy of a Bose gas at low and high density and in dimensions one, two and three
Prof. Elliott H. Lieb, Princeton University
Date: March 16, 2023, 16:15 h
I will start with a quick review of the simple equation derived in 1963 to calculate the ground state energy E of a dilute Bose gas with 2-body repulsive interactions. It yielded the famous LHY second order term for E. Beyond that it has been recently been shown to agree remarkably well with Monte Carlo calculations in 3 dimensions for ALL densities, revealing what might be previously unsuspected changes at intermediate density.