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UID:news1106@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20201116T100656
DTSTART;TZID=Europe/Zurich:20201209T140000
SUMMARY:Seminar Analysis and Mathematical Physics: Lea Bossmann (IST Austri
 a)
DESCRIPTION:Abstract. \\r\\nWe consider a system of N bosons in the mean-f
 ield scaling regime in an external trapping potential. We derive an asymp
 totic expansion of the low-energy eigenstates and the corresponding ener
 gies\, which provides corrections to Bogoliubov theory to any order in 1/
 N. We show that the structure of the ground state and of the non-degenera
 te low-energy eigenstates is preserved by the dynamics ifthe external trap
  is switched off. This talk is based on joint works with Sören Petrat\, 
 Peter Pickl\, Robert Seiringer\, and Avy Soffer (arXiv:1912.11004 and arX
 iv:2006.09825).
X-ALT-DESC:<p>Abstract.&nbsp\;</p>\n<p>We consider a system of N bosons in 
 the mean-field scaling&nbsp\;regime in an external trapping potential. We 
 derive an asymptotic&nbsp\;expansion of the low-energy eigenstates and the
  corresponding&nbsp\;energies\, which provides corrections to Bogoliubov t
 heory to any order&nbsp\;in 1/N. We show that the structure of the ground 
 state and of the&nbsp\;non-degenerate low-energy eigenstates is preserved 
 by the dynamics if<br />the external trap is switched off. This talk is ba
 sed on joint works&nbsp\;with Sören Petrat\, Peter Pickl\, Robert Seiring
 er\, and Avy Soffer&nbsp\;(arXiv:1912.11004 and arXiv:2006.09825).</p>
DTEND;TZID=Europe/Zurich:20201209T150000
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