Permutations of tori in integrable Hamiltonian systems and spectral series of pseudodifferential operators

DOI10.1134/S000143460701018XzbMath1128.37034OpenAlexW2080584655MaRDI QIDQ2460525

R. I. Aksitov

Publication date: 12 November 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143460701018x

zbMATH Keywords

level setbifurcation diagramsymplectic manifoldquantization conditionLiouville torus

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Pseudodifferential operators (47G30)

Cites Work

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• Quantum monodromy in integrable systems
• A note on focus-focus singularities
• Another note on focus-focus singularities
• Mirror symmetry is \(T\)-duality
• On global action-angle coordinates

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