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UID:6776@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20200317T110000
DTEND;TZID=Europe/Paris:20200317T120000
DTSTAMP:20241120T202004Z
URL:https://www.i2m.univ-amu.fr/evenements/hiroshi-isozaki-seminaire-analy
 se-appliquee-tba/
SUMMARY: (...): Hiroshi ISOZAKI - University of Tsukuba - Lattice Hamiltoni
 ans and their continuum limits
DESCRIPTION:: Discrete operators (i.e. difference operators) are often intr
 oduced as an approximation of\ndifferential operators. However\, if we sta
 rt form the discrete model\, it is not obvious that discrete\nsystems have
  continuum limits as the mesh size tends to 0. In this talk\, we show that
  on physically\nimportant lattices\, e.g. the square\, triangular\, hexago
 nal lattices\, the solutions for the stationary\nSchroedinger equations as
 sociated to the continuous spectrum converge to those for the continuous\n
 model. In particular\, we can deal with graphen and graphite. Our solution
 s satisfy the radiation\ncondition\, hence they describe the scattering ph
 enomena. In the case of the hexagonal lattice\, one can\nderive both of Sc
 hroedinger equations and Dirac equations according to the energy.\nThis is
  a joint work with Arne Jensen in Aalborg.
CATEGORIES:Séminaire,Analyse Appliquée
LOCATION:I2M Chateau-Gombert - CMI\, Salle de Séminaire R164 (1er étage)\
 , 39 Rue Joliot Curie\, 13013 Marseille\, France\, Campus Château-Gombert
 \, 
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