Ballistic Transport for Periodic Jacobi Operators on ${\mathbb{Z}}^d$

Abstract

In this expository work, we collect some background results and give a short proof of the following theorem: periodic Jacobi matrices on ${\mathbb{Z}}^d$ exhibit strong ballistic motion.

8 pages

References in corpus (3)

• Quantum Dynamics of Periodic and Limit-Periodic Jacobi and Block Jacobi Matrices with Applications to Some Quantum Many Body Problems
• On the relation between strong ballistic transport and exponential dynamical localization
• Ballistic transport for one-dimensional quasiperiodic Schrödinger operators