Volume 9, Issue Supplement 1, February 2002, Pages 140 - 151
Intrinsic Characterizations of Orthogonal Separability for Natural Hamiltonians with Scalar Potentials on Pseudo-Riemannian Spaces
Authors
Raymond G. McLenaghan, Roman G. Smirnov
Corresponding Author
Raymond G. McLenaghan
Received 30 April 2001, Revised 21 June 2001, Accepted 28 June 2001, Available Online 1 February 2002.
- DOI
- 10.2991/jnmp.2002.9.s1.12How to use a DOI?
- Abstract
Orthogonal separability of finite-dimensional Hamiltonians is characterized by using various geometrical concepts, including Killing tensors, moving frames, the Nijehuis 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.
- Copyright
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Raymond G. McLenaghan AU - Roman G. Smirnov PY - 2002 DA - 2002/02/01 TI - Intrinsic Characterizations of Orthogonal Separability for Natural Hamiltonians with Scalar Potentials on Pseudo-Riemannian Spaces JO - Journal of Nonlinear Mathematical Physics SP - 140 EP - 151 VL - 9 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2002.9.s1.12 DO - 10.2991/jnmp.2002.9.s1.12 ID - McLenaghan2002 ER -