- 07-298 Yulia Karpeshina, Young-Ran Lee
- Absolutely continuous spectrum of a polyharmonic operator with a limit periodic potential in dimension two.
Nov 27, 07
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Abstract. We consider a polyharmonic operator
$H=(-\Delta)^l+V(x)$ in dimension two with $l\geq 6$, $l$ being an
integer, and a limit-periodic potential $V(x)$. We prove that the
spectrum contains a semiaxis of absolutely continuous spectrum.