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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: Thursday, March 16, 2023 16:15 - 17:15
Speaker: Elliott Lieb (Princeton University)
Location: ESI Vienna, Boltzmanngasse 9, 1090 Vienna
Series: Mathematics and CS Seminar
Host: Robert Seiringer

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.

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