Deformation Quantization for Actions of $R^d$

Deformation Quantization for Actions of $R^d$
Author :
Publisher : American Mathematical Soc.
Total Pages : 110
Release :
ISBN-10 : 9780821825754
ISBN-13 : 0821825755
Rating : 4/5 (54 Downloads)

Book Synopsis Deformation Quantization for Actions of $R^d$ by : Marc Aristide Rieffel

Download or read book Deformation Quantization for Actions of $R^d$ written by Marc Aristide Rieffel and published by American Mathematical Soc.. This book was released on 1993 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work describes a general construction of a deformation quantization for any Poisson bracket on a manifold which comes from an action of R ]d on that manifold. These deformation quantizations are strict, in the sense that the deformed product of any two functions is again a function and that there are corresponding involutions and operator norms. Many of the techniques involved are adapted from the theory of pseudo-differential operators. The construction is shown to have many favorable properties. A number of specific examples are described, ranging from basic ones such as quantum disks, quantum tori, and quantum spheres, to aspects of quantum groups.


Deformation Quantization for Actions of $R^d$ Related Books

Deformation Quantization for Actions of $R^d$
Language: en
Pages: 110
Authors: Marc Aristide Rieffel
Categories: Mathematics
Type: BOOK - Published: 1993 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This work describes a general construction of a deformation quantization for any Poisson bracket on a manifold which comes from an action of R ]d on that manifo
Quantization, Geometry and Noncommutative Structures in Mathematics and Physics
Language: en
Pages: 347
Authors: Alexander Cardona
Categories: Science
Type: BOOK - Published: 2017-10-26 - Publisher: Springer

DOWNLOAD EBOOK

This monograph presents various ongoing approaches to the vast topic of quantization, which is the process of forming a quantum mechanical system starting from
From Classical Field Theory to Perturbative Quantum Field Theory
Language: en
Pages: 553
Authors: Michael Dütsch
Categories: Mathematics
Type: BOOK - Published: 2019-03-18 - Publisher: Springer

DOWNLOAD EBOOK

This book develops a novel approach to perturbative quantum field theory: starting with a perturbative formulation of classical field theory, quantization is ac
Operator Algebras and Operator Theory
Language: en
Pages: 416
Authors: Liming Ge
Categories: Mathematics
Type: BOOK - Published: 1998 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This volume contains the proceedings from the International Conference on Operator Algebras and Operator Theory held at the East China Normal University in Shan
Deformation Quantization and Index Theory
Language: en
Pages: 325
Authors: Boris Fedosov
Categories: Mathematics
Type: BOOK - Published: 1995-12-28 - Publisher: Wiley-VCH

DOWNLOAD EBOOK

In the monograph a new approach to deformation quantization on a symplectic manifold is developed. This approach gives rise to an important invariant, the so-ca