2 papers
math.DS2006
On non-perturbative Anderson localization for C^αpotentials generated by shifts and skew-shifts
Jackson Chan, Michael Goldstein, Wilhelm Schlag
In this paper we address the question of proving Anderson localization (AL) for the operator [H(x,ω)ψ](n) := - \vp(n+1) - \vp(n-1) + V\bigl(T^n_ωx\bigr)ψ(n), n\in\mathbb Z where T:…
math-ph2005
Method of variations of potential of quasi-periodic Schrodinger equation
Jackson Chan
We study the one-dimensional discrete quasi-periodic Schrodinger equation. We introduce the notion of variations of potential and use it to define "typical" potential. We show that…