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DTSTART:20240331T030000
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DTSTAMP:20260404T001658Z
UID:1701184500@ist.ac.at
DTSTART:20231128T161500
DTEND:20231128T171500
DESCRIPTION:Speaker: Emanuela Giacomelli\nhosted by Robert Seiringer\nAbstr
 act: In recent decades\, the study of many-body systems has been an active
  area of research in both physics and mathematics. In this talk\, we consi
 der a system of N interacting fermions with spin 1/2 confined in a box in 
 the dilute regime. We are interested in studying the correlation energy\, 
 defined as the difference between the energy of the fundamental state and 
 that of the free Fermi gas. We will discuss some recent results on a first
 -order asymptotic for the correlation energy in the thermodynamic limit in
  which the number of particles and the size of the box are sent to infinit
 y while keeping the density fixed. In particular\, we will present a new u
 pper bound for the correlation energy\, which is consistent with the well-
 known Huang-Yang formula of 1957. In the last part of the talk\, we will d
 iscuss some ideas for the rigorous validation of the Huang-Yang conjecture
 .
LOCATION:Heinzel Seminar Room (I21.EG.101)\, Office Building West\, ISTA\, 
 ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at 
SUMMARY:Emanuela Giacomelli: The low density Fermi gas in three dimensions
URL:https://talks-calendar.ista.ac.at/events/4599
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