Physics – Mathematical Physics
Scientific paper
2009-08-10
J.Math.Phys.50:122901,2009
Physics
Mathematical Physics
20 pages
Scientific paper
10.1063/1.3266874
van Holten's algorithm is used to construct Runge-Lenz-type conserved quantities, induced by Killing tensors, on curved manifolds. For the generalized Taub-NUT metric, the most general external potential such that the combined system admits a conserved Runge-Lenz-type vector is found. In the multi-center case, the subclass of two-center metric exhibits a conserved Runge-Lenz-type scalar.
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