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DTSTART:20180325T030000
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DTSTART:20181028T020000
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DTSTAMP:20230325T172548Z
UID:59c8cedc499e2419946624@ist.ac.at
DTSTART:20180626T160000
DTEND:20180626T180000
DESCRIPTION:Speaker: Jonas Lampert\nhosted by Robert Seiringer\nAbstract: I
will present some recent results on the construction of self-adjoint Hami
ltonians for models with point interactions that do not conserve particle
number. In these models\, one type of nonrelativistic quantum particles ca
n absorb and emit a second type of (bosonic) particles on contact\, which
gives rise to an interacting system of particles whose total number is not
fixed. The Hamiltonian and its domain of self-adjointness are given in te
rms of (singular) boundary conditions on the set of collision configuratio
ns between the different particles. After 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 Nelson model of nonrelativistic qua
ntum field theory\, to which our construction can also be applied. This gi
ves an explicit characterisation of the domain of the Nelson Hamiltonian.F
inally\, I will briefly explain the necessary modifications for the treatm
ent of a more singular three-dimensional model.This talk is based on joint
work with Julian Schmidt (TÃ¼bingen).
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
TA
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Jonas Lampert: Point interactions with variable particle number and
the domain of the Nelson Hamiltonian
URL:https://talks-calendar.ista.ac.at/events/1287
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