Bohlin-Arnold-Vassiliev's duality and conserved quantities

2008/03/18 by Yves Grandati, Grandati, Yves, Alain Bérard +3 · 1 citation
Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Scientific Research and Discoveries

paper · pdf · doi:10.48550/arxiv.0803.2610

openalex publication_date 2008/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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).

Cited by

• The laws of planetary motion, derived from those of a harmonic oscillator (following Arnold)

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