On the total bandwidth for the rational Harper's equation

DOI10.1007/BF02101237zbMath0833.34085MaRDI QIDQ1901814

Phillippe Kerdelhué, Bernard Helffer

Publication date: 9 November 1995

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

zbMATH Keywords

spectrumThouless formulaHarper's operatortotal bandwidth

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (5)

On the spectrum of critical almost Mathieu operators in the rational case ⋮ Positive Hausdorff dimensional spectrum for the critical almost Mathieu operator ⋮ Magnetic square lattice with vertex coupling of a preferred orientation ⋮ Thouless bandwidth formula in the Hofstadter model ⋮ Trace formulas for magnetic Schrödinger operators on periodic graphs and their applications

Cites Work

• Scaling for the discrete Mathieu equation
• 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
• A relation between a.c. spectrum of ergodic Jacobi matrices and the spectra of periodic approximants
• Zero measure spectrum for the almost Mathieu operator
• Analyse semi-classique pour l'équation de Harper (avec application à l'équation de Schrödinger avec champ magnétique)
• A sum rule for the dispersion relations of the rational Harper equation
• Semi-classical analysis for Harper's equation. III : Cantor structure of the spectrum
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the total bandwidth for the rational Harper's equation