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SUMMARY:August Bjerg (University of Copenhagen)
DTSTART:20240513T131500Z
DTEND:20240513T140000Z
DTSTAMP:20260423T021254Z
UID:MAS-MP/78
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAS-MP/78/">
 A short proof of a strong Weyl law in dimension 1</a>\nby August Bjerg (Un
 iversity of Copenhagen) as part of Munich-Copenhagen-Santiago Mathematical
  Physics seminar\n\n\nAbstract\nWe will consider the Dirichlet realization
  of a Schrödinger operator on a bounded interval and with a continuous po
 tential\, and discuss a slightly non-standard formulation of the associate
 d Weyl law. Instead of studying only the number of negative eigenvalues\, 
 we ask: When exactly does the eigenvalue counting function change its valu
 e? For a particular class of potentials we provide an asymptotic answer to
  this question which is *not* a consequence of the usual Weyl law (while t
 he usual Weyl law for the number of negative eigenvalues does follow from 
 our result). If time allows\, we will suggest how we at this point in time
  believe similar results in more general setups would have to look. \nBase
 d on arxiv.org/abs/2403.05137.\n
LOCATION:https://researchseminars.org/talk/MAS-MP/78/
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