Comb domains of Schrödinger operators with small quasi-periodic potentials

Ilia Binder; David Damanik; Michael Goldstein; Milivoje Lukić

doi:10.4171/jst/624

JournalsjstVol. 16, No. 3pp. 1143–1196

Comb domains of Schrödinger operators with small quasi-periodic potentials

Ilia Binder
University of Toronto, Canada
David Damanik
Rice University, Houston, USA
Michael Goldstein
University of Toronto, Canada
- zbMATH
- MR
Milivoje Lukić
Emory University, Atlanta, USA

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Abstract

We characterize spectra of Schrödinger operators with small quasi-periodic analytic potentials in terms of their comb domains, and study action variables motivated by the KdV integrable system.

Cite this article

Ilia Binder, David Damanik, Michael Goldstein, Milivoje Lukić, Comb domains of Schrödinger operators with small quasi-periodic potentials. J. Spectr. Theory 16 (2026), no. 3, pp. 1143–1196

DOI 10.4171/JST/624