Absolutely Continuous Spectrum of a Polyharmonic Operator with a Limit Periodic Potential in Dimension Two

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dc.creatorKarpeshina, Yulia
dc.creatorLee, Young-Ran
dc.date2007-11-28
dc.date.accessioned2026-07-07T08:45:46Z
dc.date.available2026-07-07T08:45:46Z
dc.descriptionWe consider a polyharmonic operator $H=(-Δ)^l+V(x)$ 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.
dc.description33 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/0711.4404
dc.identifierhttp://arxiv.org/abs/0711.4404
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143066
dc.subjectMathematical Physics
dc.subject81Q15; 81Q10
dc.titleAbsolutely Continuous Spectrum of a Polyharmonic Operator with a Limit Periodic Potential in Dimension Two
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