Exact spectral values for discrete quantum pendulum-integrals

DOI10.1063/1.532719zbMath1059.81530OpenAlexW2032397559MaRDI QIDQ4701879

Johannes Kellendonk

Publication date: 21 November 1999

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

Full work available at URL: https://semanticscholar.org/paper/c1bb2741133c579a427819d0712af2d32d674623

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Cites Work

• Continuous fields of \(C^*\)-algebras coming from group cocycles and actions
• C*-algebras associated with irrational rotations
• On the spectrum of the quantum pendulum
• Quantum group and magnetic translations Bethe ansatz for the Asbel-Hofstadter problem
• Models of the Hofstadter-type

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