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 nuclearWeyl algebra.
CITATION STYLE
Waldmann, S. (2016). Recent developments in deformation quantization. In Quantum Mathematical Physics: A Bridge between Mathematics and Physics (pp. 421–439). Springer International Publishing. https://doi.org/10.1007/978-3-319-26902-3_18
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