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DTSTART:20260329T030000
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DTSTAMP:20260721T175158Z
UID:6a1e9cbf72e58407814214@ist.ac.at
DTSTART:20260922T161500
DTEND:20260922T171500
DESCRIPTION:Speaker: Domenico Cafiero\nhosted by Robert Seiringer\nAbstract
 : Anyons are 2d identical quantum particles with an intermediate exchange 
 symmetry characterized by representations of the braid group. In the abeli
 an case\, they can be modelled through the so-called magnetic representati
 on\, namely as a system of bosons with an Aharonov-Bohm flux attached to e
 ach particle.In this talk\, I will discuss the construction of self-adjoin
 t Hamiltonians\, different from the Friedrichs realization\, for a system 
 of three abelian anyons. I will focus in particular on the Ter-Martirosyan
 -Skornyakov extensions. This family of Hamiltonians turns out to be parame
 trized by a suitable boundary operator\; I will present a complete classif
 ication of its self-adjoint realizations and compute the negative spectrum
  for the specific case of interest. These results shed light on the possib
 le occurrence of Thomas instability in the three-anyon model. Joint work w
 ith Michele Correggi (PoliMi) and Davide Fermi (PoliMi).
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Domenico Cafiero: On the three-body Hamiltonian for abelian anyons
URL:https://talks-calendar.ista.ac.at/events/6566
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