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TZID:Europe/Vienna
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DTSTART:20180325T030000
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DTSTART:20181028T020000
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DTSTAMP:20190217T092846Z
UID:59c8cedc499e2419946624@ist.ac.at
DTSTART:20180626T160000
DTEND:20180626T180000
DESCRIPTION:Speaker: Jonas Lampert\nhosted by Robert Seiringer\nAbstract: <
p>I will present some recent results on the
construction of self-adjoint Hamiltonians for models with point interacti
ons that do not conserve particle number. In these models\, one type of no
nrelativistic quantum particles can absorb and emit a second type of (boso
nic) particles on contact\, which gives rise to an interacting system of p
articles whose total number is not fixed. The Hamiltonian and its domain o
f self-adjointness are given in terms of (singular) boundary conditions on
the set of collision configurations between the different particles. Afte
r introducing the main ideas using a simple example\, I will focus on such
a model in two space dimensions. This model shares many features of the N
elson model of nonrelativistic quantum field theory\, to which our constru
ction can also be applied. This gives an explicit characterisation of the
domain of the Nelson Hamiltonian.Finally\, I will briefly explain the nece
ssary modifications for the treatment of a more singular three-dimensional
model.This talk is based on
joint work with Julian Schmidt (Tü\;bingen).

LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
T Austria
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Point interactions with variable particle number and the domain of
the Nelson Hamiltonian
URL:https://talks-calendar.app.ist.ac.at/events/1287
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