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DTSTART:20200329T030000
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DTSTART:20191027T020000
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DTSTAMP:20260405T230744Z
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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