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UID:news485@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20181229T175201
DTSTART;TZID=Europe/Zurich:20140507T151500
SUMMARY:Seminar Analysis: Julien Sabin (University of Cergy-Pontoise)
DESCRIPTION:A Fermi gas occupying the whole euclidian space is an example o
 f a  translation-invariant quantum system with an infinite number of  part
 icles. We study its stability properties under the time-dependent  nonline
 ar Hartree equation. If this system is slightly perturbed at the  initial 
 time\, we show in particular that it returns to the  translation-invariant
  state for large times. This is an instance of  nonlinear dispersion for i
 nfinite quantum systems\, which was recently  studied by Frank\, Lewin\, L
 ieb and Seiringer in the linear case. This a  joint work with Mathieu Lewi
 n (CNRS/Cergy). I will also mention some  recent work on Strichartz estima
 tes for systems of orthonormal  functions\, joint with Rupert Frank (Calte
 ch).
X-ALT-DESC: \nA Fermi gas occupying the whole euclidian space is an example
  of a  translation-invariant quantum system with an infinite number of  pa
 rticles. We study its stability properties under the time-dependent  nonli
 near Hartree equation. If this system is slightly perturbed at the  initia
 l time\, we show in particular that it returns to the  translation-invaria
 nt state for large times. This is an instance of  nonlinear dispersion for
  infinite quantum systems\, which was recently  studied by Frank\, Lewin\,
  Lieb and Seiringer in the linear case. This a  joint work with Mathieu Le
 win (CNRS/Cergy). I will also mention some  recent work on Strichartz esti
 mates for systems of orthonormal  functions\, joint with Rupert Frank (Cal
 tech).
DTEND;TZID=Europe/Zurich:20140507T161500
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