Quadrics on complex Riemannian spaces of constant curvature, separation of variables, and the Gaudin magnet
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Publication:4298632
DOI10.1063/1.530566zbMath0802.58030arXivhep-th/9308109OpenAlexW3104615767WikidataQ115330630 ScholiaQ115330630MaRDI QIDQ4298632
Ernest G. Kalnins, Willard jun. Miller, Vadim B. Kuznetsov
Publication date: 9 August 1994
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9308109
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)
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Cites Work
- Separation of variables in the Gaudin model
- The wave equation and separation of variables on the complex sphere \(S_ 4\).
- Killing tensors and the separation of the Hamilton-Jacobi equation
- Separable systems of Stäckel
- Kowalewski's top on the Lie algebras o(4), e(3), and o(3,1)
- Separation of variables for complex Riemannian spaces of constant curvature - I. Orthogonal separable coordinates for S n c and E n c
- Separation of variables on n-dimensional Riemannian manifolds. I. The n-sphere S n and Euclidean n-space R n
- Intrinsic characterisation of orthogonal separation of one coordinate in the Hamilton-Jacobi equation
- Quantum Euler-Manakov top on the three-sphere S3
- Quadrics on real Riemannian spaces of constant curvature: Separation of variables and connection with Gaudin magnet
- Equivalence of two graphical calculi
- Separable coordinate systems for the Hamilton-Jacobi, Klein-Gordon and wave equations in curved spaces
- Lie Theory and the Wave Equation in Space-Time. 2. The Group $SO(4,\mathbb{C})$