Bohlin-Arnold-Vassiliev's duality and conserved quantities

Published 18 Mar 2008 in math-ph and hep-th | (0803.2610v2)

Abstract: Bohlin-Arnold-Vassiliev's duality transformation establishes a correspondence between motions in different central potentials. It offers a very direct way to construct the dynamical conserved quantities associated to the isotropic harmonic oscillator (Fradkin-Jauch-Hill tensor) and to the Kepler's problem (Laplace-Runge-Lenz vector).

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