Quantum Euler-Manakov top on the three-sphere S3

DOI10.1088/0305-4470/24/13/007zbMath0735.58023OpenAlexW2028101215MaRDI QIDQ3982795

I. V. Komarov, Vadim B. Kuznetsov

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1088/0305-4470/24/13/007

zbMATH Keywords

harmonic polynomialsLaplace operatorspectral problemquantum integrable system\(o(4)\) Lie algebrasEuler-Manakov topreal \(S_ 3\)-sphere

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie (super)algebras to physics, etc. (17B81) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (5)

Quadrics on complex Riemannian spaces of constant curvature, separation of variables, and the Gaudin magnet ⋮ Quantum tops as examples of commuting differential operators ⋮ Quadrics on real Riemannian spaces of constant curvature: Separation of variables and connection with Gaudin magnet ⋮ Classical and quantum dynamics for an extended free rigid body ⋮ On the quantum inverse scattering method for the DST dimer

This page was built for publication: Quantum Euler-Manakov top on the three-sphere S₃