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SUMMARY:Spectral study of semiclassical Schrödinger operators with purely
  imaginary potential.
DTSTART:20260420T120000Z
DTEND:20260420T130000Z
DTSTAMP:20260412T160100Z
UID:indico-event-15271@indico.math.cnrs.fr
DESCRIPTION:Speakers: Victor Arnaiz Solorzano (IMB - Université de Bordea
 ux)\n\nIn this talk I will present new results concerning the asymptotic d
 istribution of eigenvalues for some non-selfadjoint semiclassical Schrödi
 nger operators with purely imaginary potential. Assuming different general
 ized Morse type conditions on the critical values of the potential\, we es
 tablish localization of eigenvalues at the botton of the spectrum of such 
 operators by comparison with suitable model operators. By the way\, we obt
 ain an existence theorem and and asymptotic formula of the eigenvalues for
  the model operator $-\\partial_x^2 + i x^n$ on $L^2(\\R)$ for any odd int
 eger number $n \\geq 3$\, generalizing a classical theorem of Y. Sibuya in
  the case $n = 3$. This talk is based on joint works with J-F. Bony and L.
  Michel.\n\nhttps://indico.math.cnrs.fr/event/15271/
LOCATION:Amphi Schwartz
URL:https://indico.math.cnrs.fr/event/15271/
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