Mar 16, 2023
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
Mathphys Analysis Seminar
Date: March 16, 2023 |
4:15 pm –
5:15 pm
Speaker:
Elliott Lieb, Princeton University
Location: ESI Vienna, Boltzmanngasse 9, 1090 Vienna
Language:
English
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.
