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Comb domains of Schr\"odinger operators with small quasiperiodic potentials

Spectral Theory 2025-04-08 v1

Abstract

We characterize spectra of Schr\"odinger operators with small quasiperiodic analytic potentials in terms of their comb domains, and study action variables motivated by the KdV integrable system.

Keywords

Cite

@article{arxiv.2504.04200,
  title  = {Comb domains of Schr\"odinger operators with small quasiperiodic potentials},
  author = {Ilia Binder and David Damanik and Michael Goldstein and Milivoje Lukić},
  journal= {arXiv preprint arXiv:2504.04200},
  year   = {2025}
}

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33 pages