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TZID:Europe/Vienna
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DTSTART:20180325T030000
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DTSTART:20181028T020000
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DTSTAMP:20260404T105603Z
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 (Tübingen).
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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