Deformation in Phase Space
Arratia, Oscar ; Martin, Miguel A. ; Olmo, Mariano A.
arXiv, 9805016 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-05-18
Classification:  Mathematical Physics 
@article{9805016,
     author = {Arratia, Oscar and Martin, Miguel A. and Olmo, Mariano A.},
     title = {Deformation in Phase Space},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9805016}
}

Arratia, Oscar; Martin, Miguel A.; Olmo, Mariano A. Deformation in Phase Space. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9805016/