Bohlin-Arnold-Vassiliev's duality and conserved quantities

Details Bohlin-Arnold-Vassiliev's duality and conserved quantities Bohlin-Arnold-Vassiliev's duality and conserved quantities

2008-03-18

arxiv.org/abs/0803.2610v2

Physics

Mathematical Physics

Scientific paper

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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