Year: 2026
Type: article
Abstract: This paper considers the family of Schrödinger operators on ℓ2(Z) given by independent but not necessarily identically distributed and possibly unbounded potentials. We assume a finite exponential moment and allow the choice of distributions to come from any compact set away from deterministic distributions. With these assumptions we prove spectral localization with exponentially decaying eigenfunctions as well as dynamical localization. One of the main tools is a Furstenberg-type theorem for non-stationary matrix products.
Source: Journal of Mathematical Physics
DOI: 10.1063/5.0319941
Author: Karl Zieber
Institution: University of California, Irvine
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G5930693755
OpenAlex ID: W7148439757