Published December 2009
| Version v1
Journal article
Curved manifolds with conserved Runge-Lenz vectors
Creators
- 1. Laboratoire de Mathematiques et de Physique Theorique, Universite Francois-Rabelais de Tours, Federation Denis Poisson - CNRS Parc de Grandmont, F-37200 Tours (France)
Description
van Holten's algorithm is used to construct Runge-Lenz-type conserved quantities, induced by Killing tensors, on curved manifolds. For the generalized Taub-Newman-Unti-Tamburino metric, the most general external potential such that the combined system admits a conserved Runge-Lenz-type vector is found. In the multicenter case, the subclass of two-center metric exhibits a conserved Runge-Lenz-type scalar.
Additional details
Identifiers
- DOI
- 10.1063/1.3266874;
- arXiv
- arXiv:0908.1204v3;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 50
- Journal Issue
- 12
- Journal Page Range
- p. 122901-122901.13
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41040582
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- ALGORITHMS; CONSERVATION LAWS; METRICS; SCALARS; SYMMETRY; VECTORS
- Descriptors DEC
- MATHEMATICAL LOGIC; TENSORS
Optional Information
- Notes
- (c) 2009 American Institute of Physics