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UID:news1107@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20201116T101053
DTSTART;TZID=Europe/Zurich:20201125T141500
SUMMARY:Seminar Analysis and Mathematical Physics: Emanuela Giacomelli (LMU
  Munich)
DESCRIPTION:Abstract:    We consider N spin 1/2 fermions interacting wit
 h a positive and regular enough potential in three dimensions. We compute
  the ground state energy of the system in the dilute regime at second ord
 er in the particle density. We recover a well-know expression for the gro
 und state energy which depends on the interaction potentials only via its
  scattering length. A first proof of this result has been given by Lieb\,
  Seiringer and Solovej. We discuss a new derivation of this formula whic
 h  makes use of the almost-bosonic nature of the low-energy excitations 
 of the systems. Based on a joint work with Marco Falconi\, Christian Hain
 zl\, Marcello Porta.
X-ALT-DESC:<p>Abstract:&nbsp\;&nbsp\;&nbsp\; <br />We consider N spin 1/2 f
 ermions interacting with a positive&nbsp\;<br />and regular enough potenti
 al in three dimensions. We compute the ground&nbsp\;<br />state energy of 
 the system in the dilute regime at second order in the&nbsp\;<br />particl
 e density. We recover a well-know expression for the ground state&nbsp\;<b
 r />energy which depends on the interaction potentials only via its&nbsp\;
 <br />scattering length. A first proof of this result has been given by Li
 eb\,&nbsp\;<br />Seiringer and Solovej. We discuss a new derivation of thi
 s formula&nbsp\;<br />which&nbsp\; makes use of the almost-bosonic nature 
 of the low-energy&nbsp\;<br />excitations of the systems. Based on a joint
  work with Marco Falconi\,&nbsp\;<br />Christian Hainzl\, Marcello Porta.<
 /p>
DTEND;TZID=Europe/Zurich:20201125T161500
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