Quantum integrable systems constrained on the sphere

DOI10.1007/BF00398280zbMath0709.58019MaRDI QIDQ921681

Zhang-Ju Liu

Publication date: 1990

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

zbMATH Keywords

quantizationgeodesic flowNeumann systemquantum integrable systemRosochatius system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Geometry and quantization, symplectic methods (81S10) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (3)

Flat minimal quantizations of Stäckel systems and quantum separability ⋮ Quantum geometry and quantum mechanics of integrable systems ⋮ Integrable quantum Stäckel systems

Cites Work

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• Remarks on the integrable systems associated with rank 2 perturbations
• Classical and quantum-mechanical systems of Toda lattice type. I
• Deformation theory and quantization. I: Deformations of symplectic structures
• Construction of twisted products for cotangent bundles of classical groups and Stiefel manifolds
• Quantization on a manifold with connection
• Gauge Invariant Quantization on Riemannian Manifolds

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