On the geometry of conformal mechanics

Details On the geometry of conformal mechanics On the geometry of conformal mechanics

2011-08-05

arxiv.org/abs/1108.1299v2

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 4 figures, two references added

Scientific paper

A geometric picture of conformally invariant mechanics is presented. Although the standard form of the model is recovered, the careful analysis of global geometry of phase space leads to the conclusion that, in the attractive case, the singularity related to the phenomenon of "falling on the center" is spurious. This opens new possibilities concerning both the interpretation and quantization of the model. Moreover, similar modification seem to be relevant in supersymmetric and multidimensional generalization of conformal mechanics.

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