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)l + 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.

    • Authors

    Published In

    Digital Object Identifier (doi)

    Author List

  • Karpeshina Y; Lee YR

    • Start Page

  • 1711

    • End Page

  • 1728

    • Volume

  • 33

    • Issue

  • 9