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TZID:Europe/Vienna
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DTSTART:20170326T030000
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DTSTART:20161030T020000
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DTSTAMP:20220808T052414Z
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-SchrÃ¶dinger Equations f
rom the Pauli-Fierz Hamiltonian
URL:https://talks-calendar.app.ist.ac.at/events/250
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