Absolutely Continuous Spectrum of a Polyharmonic Operator with a Limit Periodic Potential in Dimension Two
Karpeshina, Yulia · Lee, Young-Ran
Original · EN
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.
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