Absolutely continuous spectrum of a polyharmonic operator with a limit periodic potential in dimension two

Academic Article

Abstract

  • We consider a polyharmonic operator H = (-δ) + V(x) in dimension two with l ≥ 6, l being an integer, and a limit-periodic potential V(x). We prove that the spectrum contains a semiaxis of absolutely continuous spectrum. l
  • Digital Object Identifier (doi)

    Author List

  • Karpeshina Y; Lee YR
  • Start Page

  • 1711
  • End Page

  • 1728
  • Volume

  • 33
  • Issue

  • 9