On spectral properties of Harper-like models

DOI10.1063/1.532795zbMath0960.81016OpenAlexW2042002520MaRDI QIDQ4701779

D. J. L. Herrmann, T. Janssen

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532795

zbMATH Keywords

magnetic fieldsexistence of spectral gapsChambers relation

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (2)

On the Lipschitz continuity of spectral bands of Harper-like and magnetic Schrödinger operators ⋮ On the Regularity of the Hausdorff Distance Between Spectra of Perturbed Magnetic Hamiltonians

Cites Work

• On the measure of the spectrum for the almost Mathieu operator
• Cantor spectrum for the almost Mathieu equation
• Gauss polynomials and the rotation algebra
• The coexistence problem for the discrete Mathieu operator
• Lipschitz continuity of gap boundaries for Hofstadter-like spectra
• UNITARY OPERATOR BASES
• Analysis of the spectrum of a particle on a triangular lattice with two magnetic fluxes by algebraic and numerical methods
• The noncommutative geometry of the quantum Hall effect
• Models of the Hofstadter-type

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