Ballistic Transport for Schrödinger Operators with Quasi-periodic Potentials

Abstract

We prove the existence of ballistic transport for a Schrödinger operator with a generic quasi-periodic potential in any dimension $d>1$.

16 pages. arXiv admin note: substantial text overlap with arXiv:1507.06523

References in corpus (2)

• Ballistic Transport for the Schrödinger Operator with Limit-Periodic or Quasi-periodic Potential in Dimension Two
• Bethe-Sommerfeld Conjecture and Absolutely Continuous Spectrum of Multi-Dimensional Quasi-Periodic Schrödinger Operators