Dry Ten Martini problem for non self-dual extended Harper's model

DOI10.1090/TRAN/6989arXiv1607.08571MaRDI QIDQ6276035

Publication date: 28 July 2016

Abstract: In this paper we prove the dry version of the Ten Martini problem: Cantor spectrum with all gaps open, for the extended Harper's model in the non self-dual region for Diophantine frequencies.

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Difference operators (39A70) Linear difference operators (47B39) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

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