Remarks on Multi-Dimensional Conformal Mechanics

Physics – Mathematical Physics

Scientific paper

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Scientific paper

10.3842/SIGMA.2009.004

Recently, Galajinsky, Lechtenfeld and Polovnikov proposed an elegant
group-theoretical transformation of the generic conformal-invariant mechanics
to the free one. Considering the classical counterpart of this transformation,
we relate this transformation with the Weil model of Lobachewsky space.

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