The density of states for almost periodic Schrödinger operators and the frequency module: A counter example

DOI10.1007/BF01254461zbMath0505.46056OpenAlexW2054260920MaRDI QIDQ1836083

Jean Bellissard, Elisabetta Scoppola

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01254461

zbMATH Keywords

almost periodic potentialsgap labelling theoremincommensurate systems

Mathematics Subject Classification ID

Applications of operator algebras to the sciences (47L90) Quantum equilibrium statistical mechanics (general) (82B10) Miscellaneous applications of functional analysis (46N99)

Related Items (11)

Pure point spectrum for discrete almost periodic Schrödinger operators ⋮ Gap-labelling conjecture with nonzero magnetic field ⋮ Spectre de l'opérateur de Schrödinger magnétique avec symétrie d'ordre six ⋮ Some remarks on discrete aperiodic Schrödinger operators ⋮ Cantor spectrum and singular continuity for a hierarchical Hamiltonian ⋮ Remarks on Linear Differential Systems with Measurable Coefficients ⋮ Spectral properties of one dimensional quasi-crystals ⋮ Unnamed Item ⋮ Geometric invariants of the quantum Hall effect ⋮ A review of recent work on almost periodic differential and difference operators ⋮ An exactly solvable model of a multidimensional incommensurate structure

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An analogue of the Thom isomorphism for crossed products of a C* algebra by an action of R
• ALMOST PERIODIC FUNCTIONS AND PARTIAL DIFFERENTIAL OPERATORS

This page was built for publication: The density of states for almost periodic Schrödinger operators and the frequency module: A counter example