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TZID:Europe/Vienna
BEGIN:DAYLIGHT
DTSTART:20180325T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
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DTSTART:20171029T020000
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BEGIN:VEVENT
DTSTAMP:20260308T212331Z
UID:5914348f6b669431019864@ist.ac.at
DTSTART:20180201T160000
DTEND:20180201T180000
DESCRIPTION:Speaker: Nikolai Leopold\nhosted by Robert Seiringer\nAbstract:
  The Nelson model (with ultraviolet cutoff) describes a quantum system of 
 non-relativistic identical particles coupled to a quantized scalar field. 
 In this talk\, I would like to discuss its time evolution in a mean-field 
 limit of many fermions which is coupled to a semiclassical limit. At time 
 zero\, we assume that the gauge bosons of the radiation field are in a coh
 erent state and that the state of the fermions is given by a Slater determ
 inant\, whose reduced one-particle density matrix is an orthogonal project
 ion with semiclassical structure. I will motivate that at later times and 
 in the limit of many fermions it can be proven that the fermion state rema
 ins close to a slater determinant and that the time evolution is approxima
 tely described by the fermionic Schrödinger-Klein-Gordon equations. I wil
 l introduce the mentioned models and discuss the status and the structure 
 of the proof. The talk reports about work in progress with Sören Petrat.
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
 TA
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Nikolai Leopold: Mean-field Dynamics for the Nelson model with Ferm
 ions
URL:https://talks-calendar.ista.ac.at/events/1064
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