Curved manifolds with conserved Runge-Lenz vectors

Journal Article · Tue Dec 15 00:00:00 EST 2009 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3266874· OSTI ID:21294521

Ngome, J -P ^[1]

---

1. 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, Vol. 50, Issue 12; Other Information: DOI: 10.1063/1.3266874; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ALGORITHMS
CONSERVATION LAWS
METRICS
SCALARS
SYMMETRY
VECTORS