Recent developments in deformation quantization
Quantum Algebra
2015-02-03 v1 Mathematical Physics
math.MP
Abstract
In this review an overview on some recent developments in deformation quantization is given. After a general historical overview we motivate the basic definitions of star products and their equivalences both from a mathematical and a physical point of view. Then we focus on two topics: the Morita classification of star product algebras and convergence issues which lead to the nuclear Weyl algebra.
Cite
@article{arxiv.1502.00097,
title = {Recent developments in deformation quantization},
author = {Stefan Waldmann},
journal= {arXiv preprint arXiv:1502.00097},
year = {2015}
}
Comments
21 pages. Contribution to the proceedings of the Regensburg conference 2014 on Quantum Mathematical Physics