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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143066We 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.33 pages, 8 figuresMathematical Physics81Q15; 81Q10Absolutely Continuous Spectrum of a Polyharmonic Operator with a Limit Periodic Potential in Dimension Twotext