Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-08-23
J.Math.Phys. 35 (1994) 1710-1731
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, AmsTeX. IMA Preprint Series # 1153, July 1993
Scientific paper
10.1063/1.530566
We consider integrable systems that are connected with orthogonal separation of variables in complex Riemannian spaces of constant curvature. An isomorphism with the hyperbolic Gaudin magnet, previously pointed out by one of us, extends to coordinates of this type. The complete classification of these separable coordinate systems is provided by means of the corresponding $L$-matrices for the Gaudin magnet. The limiting procedures (or $\epsilon $ calculus) which relate various degenerate orthogonal coordinate systems play a crucial result in the classification of all such systems.
Jr.
Kalnins Ernest G.
Kuznetsov Vadim B.
Miller Willard
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