Quantization, Geometry and Noncommutative Structures in Mathematics and Physics

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.

  • Delivery

    ₹75 shipping all over India

  • Secure Payment

    100% Secure Payment

5,448.0010,284.00

In stock

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 Andruskiewitsch.

Weight 1 kg
Dimensions 24 × 16 × 3 cm
Book Author

Alexander Cardona, Pedro Morales

Edition

1st

Format

Hardback

ISBN

9783319654263

Language

English

Pages

341

Publication Year

Publisher

Customer Reviews

There are no reviews yet.

Be the first to review “Quantization, Geometry and Noncommutative Structures in Mathematics and Physics”

Your email address will not be published. Required fields are marked *