Dynamics Determines Geometry
Hojman
S
A
author
Gamboa
J
author
Mendez
F
author
2012
English
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.
Classical and quantum mechanics
non-commutative geometry
WOS:000310278700003
exported from refbase (show.php?record=249), last updated on Wed, 05 Dec 2012 12:09:15 -0300
text
files/247_Hojman_etal2012.pdf
10.1142/S0217732312501866
Hojman_etal2012
Modern Physics Letters A
Mod. Phys. Lett. A
2012
World Scientific Publ Co Pte Ltd
continuing
periodical
academic journal
27
33
14 pp
0217-7323