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math.SPNov 23, 2020
authors
  • Jake Fillman
arXiv abstractPDF
paper

Ballistic Transport for Periodic Jacobi Operators on Zd

arXiv:2011.11522

Abstract

In this expository work, we collect some background results and give a short proof of the following theorem: periodic Jacobi matrices on Zd exhibit strong ballistic motion.

arXiv comment8 pages

References in corpus (7)

  • Schrödinger Operators with Dynamically Defined Potentials: A Survey
  • Motion in Periodic Potentials
  • Quantum Dynamics of Periodic and Limit-Periodic Jacobi and Block Jacobi Matrices with Applications to Some Quantum Many Body Problems
  • Ballistic Transport for Limit-Periodic Jacobi Matrices with Applications to Quantum Many-Body Problems
  • On transport properties of isotropic quasiperiodic XY spin chains
  • On the relation between strong ballistic transport and exponential dynamical localization
  • Ballistic transport for one-dimensional quasiperiodic Schrödinger operators
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