Deformation in Phase Space
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We review several procedures of quantization formulated in the framework of (classical) phase space M. These quantization methods consider Quantum Mechanics as a "deformation" of Classical Mechanics by means of the "transformation" of the commutative algebra of smooth functions on M in a new non-commutative algebra. These ideas lead in a natural way to Quantum Groups as deformation (or quantization, in a broad sense) of Poisson-Lie groups, which is also analysed here.
Cite
@article{arxiv.math-ph/9805016,
title = {Deformation in Phase Space},
author = {Oscar Arratia and Miguel A. Martin and Mariano A. Olmo},
journal= {arXiv preprint arXiv:math-ph/9805016},
year = {2007}
}
Comments
29 pages, LaTex 2.09