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DTSTAMP:20260424T143003Z
UID:6687bf08e3ccd526325874@ist.ac.at
DTSTART:20250325T160000
DTEND:20250325T170000
DESCRIPTION:Speaker: Jakob Oldenburg\nhosted by Robert Seiringer\nAbstract:
  We prove an upper bound for the energy of a dilute Bose gas in the thermo
 dynamic limit that correctly resolves the third order correction as predic
 ted by Wu as well as by Hugenholtz and Pines and by Sawada. The error term
  is of the correct fourth order. Our result applies to radial interaction 
 potentials $V\\in L^2(\\mathbb{R}^3)$ with compact support that have posit
 ive scattering length\, are stable and do not admit two-body bound states.
  In particular\, it covers the case of nonnegative potentials\, and thus\,
  also generalizes the technical assumptions used for the Lee-Huang-Yang up
 per bound by Yau and Yin and by Basti\, Cenatiempo and Schlein. On the tec
 hnical side\, the biggest novelty is the introduction of a cutoff imposing
  restrictions on the local number of excitations that allow us to construc
 t a trial state with the right energy density on any length scale shorter 
 than the thermodynamic one. This is joint work with Morris Brooks\, Diane 
 Saint Aubin and Benjamin Schlein.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Jakob Oldenburg: Third order upper bound for the ground state energ
 y of the dilute Bose gas
URL:https://talks-calendar.ista.ac.at/events/5521
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