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UID:20260901T033725EDT-7105nMO0KW@132.216.98.100
DTSTAMP:20260901T073725Z
DESCRIPTION:Title: Integrated density of states of the periodic Airy-Schröd
 inger operator\n	Abstract: In this talk I present\, in the semiclassical re
 gime\, an explicit formula for the integrated density of states of the per
 iodic Airy-Schrodinger operator on the real line. The potential of this Sc
 hrödinger operator is periodic\, continuous and piecewise linear. For this
  purpose\, the spectrum of the Schrödinger operator whose potential is the
  restriction of the periodic Airy-Schrödinger potential to a finite number
  of periods is studied. We prove that all the eigenvalues of the operator 
 corresponding to the restricted potential are in the spectral bands of the
  periodic Airy-Schrodinger operator and none of them are in its spectral g
 aps. In the semiclassical regime\, we count the number of these eigenvalue
 s in each of the spectral bands. Note that in these results there are expl
 icit constants which characterize the semiclassical regime. This is joint 
 work with Olivier Lafitte (USPN - CRM Montreal).\n\nFor zoom meeting infor
 mation\, please contact dmitry.jakobson [at] mcgill.ca\n
DTSTART:20210402T153000Z
DTEND:20210402T163000Z
SUMMARY:Hakim Boumaza (Paris)
URL:https://www.mcgill.ca/mathstat/channels/event/hakim-boumaza-paris-33005
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