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DTSTAMP:20230327T160421Z
UID:5b4d8fb08709a688267970@ist.ac.at
DTSTART:20191107T160000
DTEND:20191107T180000
DESCRIPTION:Speaker: Elliott Lieb\nhosted by Robert Seiringer\nAbstract: I
will start with a quick review of the simple equation derived in 1964 to c
alculate the ground state energy E of a dilute Bose gas with 2-body repuls
ive interactions. It yielded the famous LHY term. Beyond that it suprisin
gly works reasonably well for all densities. It was then shown to work ver
y 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 exis
tence of a solution in all D\, especially 2D where Schick had derived the
answer with great labor (later proved correct with Jakob Yngvason)\; (b) e
stimates of the condensate fraction which have an interesting\, unforeseen
twist at high density\; (c) Proof\, by computation only\, so far\, of the
rmodynamic stability.
LOCATION:Heinzel Seminar Room / Office Bldg West (I21.EG.101)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Elliott Lieb: A study of a simple equation that describes the groun
d-state energy of a Bose gas at low and high density and in dimensions one
\, two and three
URL:https://talks-calendar.ista.ac.at/events/2137
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