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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