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 – 6:00 pm
Speaker: Elliott Lieb, Princeton University, New Jersey
Location: Heinzel Seminar Room / Office Bldg West (I21.EG.101)

I will start with a quick review of the simple equation derived in 1964 to calculate the ground state energy E of a dilute Bose gas with 2-body repulsive interactions. It yielded the famous LHY term. Beyond that it suprisingly works reasonably well for all densities. It
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.

More Information:

Date:
November 7, 2019
4:00 pm – 6:00 pm

Speaker:
Elliott Lieb, Princeton University, New Jersey

Location:
Heinzel Seminar Room / Office Bldg West (I21.EG.101)

Contact:

OOSTHUIZEN-NOCZIL Birgit

Email:
boosthui@ist.ac.at

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