Ballistic Transport for Schr\"odinger Operators with Quasi-periodic Potentials

Yulia Karpeshina; Leonid Parnovski; Roman Shterenberg

doi:10.1063/5.0046856

Ballistic Transport for Schr\"odinger Operators with Quasi-periodic Potentials

Mathematical Physics 2024-06-19 v1 math.MP Spectral Theory

Authors: Yulia Karpeshina , Leonid Parnovski , Roman Shterenberg

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Abstract

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

Keywords

schrödinger operator quasi-periodic potential ballistic transport mathematical physics

Cite

@article{arxiv.2102.03677,
  title  = {Ballistic Transport for Schr\"odinger Operators with Quasi-periodic Potentials},
  author = {Yulia Karpeshina and Leonid Parnovski and Roman Shterenberg},
  journal= {arXiv preprint arXiv:2102.03677},
  year   = {2024}
}