Curved manifolds with conserved Runge-Lenz vectors
Journal Article
·
· Journal of Mathematical Physics
- Laboratoire de Mathematiques et de Physique Theorique, Universite Francois-Rabelais de Tours, Federation Denis Poisson - CNRS Parc de Grandmont, F-37200 Tours (France)
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.
- OSTI ID:
- 21294521
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 12 Vol. 50; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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