Reduction Procedures in Classical and Quantum Mechanics
Mathematical Physics
2009-05-29 v1 math.MP
Quantum Physics
Abstract
We present, in a pedagogical style, many instances of reduction procedures appearing in a variety of physical situations, both classical and quantum. We concentrate on the essential aspects of any reduction procedure, both in the algebraic and geometrical setting, elucidating the analogies and the differences between the classical and the quantum situations.
Cite
@article{arxiv.0709.2366,
title = {Reduction Procedures in Classical and Quantum Mechanics},
author = {J. F. Carinena and J. Clemente-Gallardo and G. Marmo},
journal= {arXiv preprint arXiv:0709.2366},
year = {2009}
}
Comments
AMS-LaTeX, 35 pages. Expanded version of the Invited review talk delivered by G. Marmo at XXIst International Workshop On Differential Geometric Methods In Theoretical Mechanics, Madrid (Spain), 2006. To appear in Int. J. Geom. Methods in Modern Physics