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DTSTART:20180325T030000
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DTSTAMP:20191018T062447Z
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 SchrÃ¶dinger-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 SÃ¶ren Petrat.
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
T Austria
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Mean-field Dynamics for the Nelson model with Fermions
URL:https://talks-calendar.app.ist.ac.at/events/1064
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