Intrinsic Characterizations of Orthogonal Separability for Natural Hamiltonians with Scalar Potentials on Pseudo-Riemannian Spaces

Intrinsic Characterizations of Orthogonal Separability for Natural Hamiltonians with Scalar Potentials on Pseudo-Riemannian Spaces

Orthogonal separability of finite-dimensional Hamiltonians is characterized by using various geometrical concepts, including Killing tensors, moving frames, the Nijenhuis tensor, bi-Hamiltonian and quasi-bi-Hamiltonian representations. In addition, a complete classification of separable metrics defi...

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Veröffentlicht in:Journal of nonlinear mathematical physics 2002, Vol.9 (Supplement 1), p.140-151
Hauptverfasser: Mclenaghan, Raymond G, Smirnov, Roman G
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical analysis
Tensors
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Zusammenfassung:Orthogonal separability of finite-dimensional Hamiltonians is characterized by using various geometrical concepts, including Killing tensors, moving frames, the Nijenhuis tensor, bi-Hamiltonian and quasi-bi-Hamiltonian representations. In addition, a complete classification of separable metrics defined in two-dimensional locally flat Lorenzian spaces is presented.
ISSN:1402-9251
1776-0852
1776-0852
DOI:10.2991/jnmp.2002.9.s1.12