Geometric quantization of completely integrable Hamiltonian systems in the action-angle variables

DOI10.1016/S0375-9601(02)00956-8zbMath0997.81047arXivquant-ph/0112083OpenAlexW3101266894MaRDI QIDQ1611189

Luigi Mangiarotti, Giovanni Giachetta, Gennadi A. Sardanashvily

Publication date: 21 August 2002

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0112083

zbMATH Keywords

quantum algebrainvariant torusseparable pre-Hilbert space

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Geometry and quantization, symplectic methods (81S10)

Related Items (4)

Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds ⋮ Bi-Hamiltonian partially integrable systems ⋮ Quantization of noncommutative completely integrable Hamiltonian systems ⋮ GEOMETRIC FORMULATION OF NON-AUTONOMOUS MECHANICS

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