Dynamics determines geometry

Sergio A. Hojman, J. Gamboa, F. MÉndez

Research output: Contribution to journalArticlepeer-review


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 NairPolychronakos oscillator.

Original languageEnglish
Article number1250186
JournalModern Physics Letters A
Issue number33
StatePublished - 30 Oct 2012


  • Classical and quantum mechanics
  • non-commutative geometry


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