Deformation Quantization: Observable Algebras, States and Representation Theory
Abstract
Description
In these lecture notes I give an introduction to deformation quantization. The quantization problem is discussed in some detail thereby motivating the notion of star products. Starting from a deformed observable algebra, i.e. the star product algebra, physical applications require to study representations of this algebra. I review the recent development of a representation theory including techniques like Rieffel induction and Morita equivalence. Applications beyond quantization theory are found in noncommutative field theories.
LaTeX2e, 32 pages. Lecture notes for the Kopaonik summer school 2002
LaTeX2e, 32 pages. Lecture notes for the Kopaonik summer school 2002