Nov 7, 2019
A 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
Date: November 7, 2019 |
4:00 pm –
Speaker: Elliott Lieb, Princeton University, New Jersey
Location: Heinzel Seminar Room / Office Bldg West (I21.EG.101)
was then shown to work very well for the 1D delta function gas where the
exact E is known and shown to be in error by at most 29%. It works well
for quantum jellium also.
In current work with Eric Carlen and Ian Jauslin further results are
obtained, partially with the help of modern computers: (a) Rigorous
proof of existence of a solution in all D, especially 2D where Schick
had derived the answer with great labor (later proved correct with
Jakob Yngvason); (b) estimates of the condensate fraction which have an
interesting, unforeseen twist at high density; (c) Proof, by computation
only, so far, of thermodynamic stability.