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 NairPolychronakos oscillator.
Original language | English |
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Article number | 1250186 |
Journal | Modern Physics Letters A |
Volume | 27 |
Issue number | 33 |
DOIs | |
State | Published - 30 Oct 2012 |
Keywords
- Classical and quantum mechanics
- non-commutative geometry