Browsing by Author "Lenz, Daniel"
Now showing 1 - 1 of 1
Results Per Page
Sort Options
Item Absence of absolutely continuous spectrum for generic quasi-periodic Schrödinger operators on the real line(Springer Nature, 2022) Damanik, David; Lenz, DanielWe show that a generic quasi-periodic Schrödinger operator in L2(ℝ) has purely singular spectrum. That is, for any minimal translation flow on a finite-dimensional torus, there is a residual set of continuous sampling functions such that for each of these sampling functions, the Schrödinger operator with the resulting potential has empty absolutely continuous spectrum.