In this paper we recall the concept of Hamiltonian system in the canonical and Poisson settings. We will discuss the quantization of the Hamiltonian systems in the Poisson context, using formal deformation quantization and quantum group theories.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc106-0-4, author = {Chiara Esposito}, title = {Quantization of Poisson Hamiltonian systems}, journal = {Banach Center Publications}, volume = {104}, year = {2015}, pages = {47-58}, zbl = {1335.53108}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc106-0-4} }
Chiara Esposito. Quantization of Poisson Hamiltonian systems. Banach Center Publications, Tome 104 (2015) pp. 47-58. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc106-0-4/