Tuesday, April 17, 2012

1204.3281 (Sergio A. Hojman et al.)

Dynamics determines geometry    [PDF]

Sergio A. Hojman, J. Gamboa, F. Mendez
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.
View original: http://arxiv.org/abs/1204.3281

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