| 书目名称 | Quantization, Geometry and Noncommutative Structures in Mathematics and Physics | | 编辑 | Alexander Cardona,Pedro‘Morales,Andrés F. Reyes Le | | 视频video | | | 概述 | Inspires especially young researchers who will get a global picture and technical tools at the same time.Bridges different active areas of research in mathematics and physics.Written with a notable pe | | 丛书名称 | Mathematical Physics Studies | | 图书封面 |  | | 描述 | 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 merged with group actions, which is presented in chapter 2, by Simone Gutt..The noncommutativity arising from quantization is the main concern of noncommutative geometry. Allowing for the presence of symmetries requires working with principal fiber bundles in a non-commutative setup, where Hopf algebras appear naturally. This is the topic of chapter 3, by Christian Kassel. Nichols algebras, a special type of Hopf algebras, are the subject of chapter 4, by Nicolás Andru | | 出版日期 | Book 2017 | | 关键词 | deformation quantization; noncommutative geometry; Poisson manifold; principal fibre boundles; group act | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-65427-0 | | isbn_softcover | 978-3-319-88026-6 | | isbn_ebook | 978-3-319-65427-0Series ISSN 0921-3767 Series E-ISSN 2352-3905 | | issn_series | 0921-3767 | | copyright | Springer International Publishing AG 2017 |
The information of publication is updating
书目名称Quantization, Geometry and Noncommutative Structures in Mathematics and Physics影响因子(影响力)
书目名称Quantization, Geometry and Noncommutative Structures in Mathematics and Physics影响因子(影响力)学科排名
书目名称Quantization, Geometry and Noncommutative Structures in Mathematics and Physics网络公开度
书目名称Quantization, Geometry and Noncommutative Structures in Mathematics and Physics网络公开度学科排名
书目名称Quantization, Geometry and Noncommutative Structures in Mathematics and Physics被引频次
书目名称Quantization, Geometry and Noncommutative Structures in Mathematics and Physics被引频次学科排名
书目名称Quantization, Geometry and Noncommutative Structures in Mathematics and Physics年度引用
书目名称Quantization, Geometry and Noncommutative Structures in Mathematics and Physics年度引用学科排名
书目名称Quantization, Geometry and Noncommutative Structures in Mathematics and Physics读者反馈
书目名称Quantization, Geometry and Noncommutative Structures in Mathematics and Physics读者反馈学科排名
|
|
|
发表于 2025-3-21 19:41:21
