07-298 Yulia Karpeshina, Young-Ran Lee

Absolutely continuous spectrum of a polyharmonic operator with a limit periodic potential in dimension two. (522K, pdf) 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.

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