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UID:2759@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20190227T100000
DTEND;TZID=Europe/Paris:20190227T110000
DTSTAMP:20190212T090000Z
URL:https://www.i2m.univ-amu.fr/evenements/spectral-theory-and-inverse-sca
 ttering-on-graphene/
SUMMARY: (...): Spectral theory and inverse scattering on graphene
DESCRIPTION:: We consider the forward and inverse scattering problems on th
 e hexagonal lattice. A physically important example is the graphen\, for w
 hich there are two closely related mathematical models. The first one (the
  discrete model or the vertex model) deals with the propagation of waves r
 estricted on vertices\, and the second one (the quantum graph or the edge 
 model) describes the waves governed by the 1- dimensional Schroedinger equ
 ation on the edges. Our main aim is to solve the inverse scattering proble
 ms. Assuming that perturbations are confined to a finite part of the graph
 \, for the vertex mode\, the S-matrix determines-(1) the potential\,-(2) t
 he convex hull of defects of the lattice\,-(3) the graph structure as a pl
 anar graph.-For the edge model the S-matrix determines(4) the symmetric po
 tentials on all edges.-This is a joint work with K. Ando\, E. Korotyaev an
 d H. Morioka.http://www.researchgate.net/profile/Hiroshi_Isozaki
CATEGORIES:Groupe de travail,Analyse Spectrale et Problèmes Inverses
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DTSTART:20181028T020000
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