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SUMMARY:Squeezing networks to graphs
DTSTART;VALUE=DATE-TIME:20130131T080000Z
DTEND;VALUE=DATE-TIME:20130131T090000Z
DTSTAMP;VALUE=DATE-TIME:20200218T223017Z
UID:indico-event-5855@agenda.infn.it
DESCRIPTION:The talk is devoted to the problem to which Gianfausto Dell’
Antonio made a significant contri- bution\, namely approximation of quantu
m graphs by ’fat graphs’ or tubular networks. It is now well known tha
t the answer depends substantially on the boundary conditions imposed at t
he network. While Gianfausto’s result concern mostly the Dirichlet case\
, my aim here is to present a general solution in the Neumann one. It is b
ased on two recent ideas. The first comes from a common work with Olaf Pos
t: it will be shown that using suitably scaled Schr ̈odinger opera- tors
one can approximate vertex couplings beyond the Kirchhoff case\, including
those with wave functions discontinuous at the vertices. Next I will desc
ribe another result obtained together with Taksu Cheon and Ondˇrej Turek
on approximations by Schr ̈odinger operators on graphs which shows a way
how the graph prob- lem can be solved in full generality. Combining the tw
o techniques\, on can approximate any coupling using families of scaled Sc
hr ̈odinger operators on Neumann networks.dy [9] Efimov effects - what ab
out the mysterious ”unitary Bose gas” ?\n\nhttps://agenda.infn.it/even
t/5855/
LOCATION:LNF Aula Bruno Touschek
URL:https://agenda.infn.it/event/5855/
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