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Cookie akzeptierenQuantization, Geometry and Noncommutative Structures in Mathematics and Physics
- Springer International Publishing
- 2017
- Gebunden
- 352 Seiten
- ISBN 9783319654263
This monograph presents various ongoing approaches to the vast topic of quantization, which is the process of forming a quantum mechanical system starting from a classical one, and discusses their numerous fruitful interactions with mathematics. The opening chapter introduces the various forms of quantization and their interactions with each other and with mathematics. A first approach to quantization, called deformation quantization, consists of viewing the Planck constant as a small parameter. This approach provides a deformation of the structure of the algebra of classical observables rather than a radical change in the nature of the observables. When symmetries come into play, deformation quantization needs to be
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