Research PapersNo Access
DYNAMICS DETERMINES GEOMETRY
https://doi.org/10.1142/S0217732312501866Cited by:0 (Source: Crossref)
Abstract
The inverse problem of calculus of variations and s-equivalence are re-examined by using results obtained from non-commutative geometry ideas. The role played by the structure of the modified Poisson brackets is discussed in a general context and it is argued that classical s-equivalent systems may be non-equivalent at the quantum mechanical level. This last fact is explicitly discussed comparing different approaches to deal with the Nair–Polychronakos oscillator.
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