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arXiv · 0803.2610

Bohlin-Arnold-Vassiliev's duality and conserved quantities

Yves Grandati·Alain Berard·Herve Mohrbach
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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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Yves Grandati, Alain Berard, Herve Mohrbach. 2008-05-16. Bohlin-Arnold-Vassiliev's duality and conserved quantities. https://arxiv.org/abs/0803.2610

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