English

Scattering for time periodic Hamiltonians on graphs

Mathematical Physics 2025-09-19 v1 math.MP

Abstract

We develop a scattering theory for time-periodic Hamiltonians on discrete graphs, including long-range potentials with zero average for the period, and show the existence and completeness of wave operators.

Keywords

Cite

@article{arxiv.2509.14719,
  title  = {Scattering for time periodic Hamiltonians on graphs},
  author = {Hiroshi Isozaki and Evgeny and L. Korotyaev},
  journal= {arXiv preprint arXiv:2509.14719},
  year   = {2025}
}
R2 v1 2026-07-01T05:43:20.854Z