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TZID:Europe/Vienna
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DTSTART:20170326T030000
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DTSTART:20161030T020000
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DTSTAMP:20260428T204754Z
UID:57f791caf143a920681694@ist.ac.at
DTSTART:20170223T160000
DTEND:20170223T180000
DESCRIPTION:Speaker: Nikolai Leopold\nhosted by Robert Seiringer\nAbstract:
  The spinless Pauli-Fierz Hamiltonian describes a quantum system of nonrel
 ativistic identical particles coupled to the quantized electromagnetic fie
 ld. In this talk\, I will discuss its time evolution in a mean-field limit
  where the number N of charged particles gets large\, while the coupling t
 o the radiation field is rescaled by            . At time zero it is assum
 ed that almost all charged particles are in the same one-body state (a Bos
 e-Einstein condensate) and that the photons are close to a coherent state.
  At later times and in the limit                it can be proven that the 
 charged particles remain in a Bose-Einstein condensate and that the time e
 volution is approximately described by the Maxwell-Schroedinger system. Th
 is system of equations models the coupling of a non-relativistic particle 
 to the classical electromagnetic field. I will introduce the mentioned mod
 els and explain the structure of the proof. The talk is based on work in c
 ollaboration with Peter Pickl.
LOCATION:Seminar room Big Ground floor / Office Bldg West (I21.EG.101)\, IS
 TA
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Nikolai Leopold: Derivation of the Maxwell-Schrödinger Equations f
 rom the Pauli-Fierz Hamiltonian
URL:https://talks-calendar.ista.ac.at/events/250
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