CURRENTLY SOLD OUT

Quantization, Geometry and Noncommutative Structures in Mathematics and Physics by Hernan Ocampo, Sylvie Paycha, Andres F. Reyes Lega, Pedro Morales, Alexander Cardona (Paperback, 2018)

About this product

Product Information

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 Nicolas Andruskiewitsch. The purely algebraic approaches given in the previous chapters do not take the geometry of space-time into account. For this purpose a special treatment using a more geometric point of view is required. An approach to field quantization on curved space-time, with applications to cosmology, is presented in chapter 5 in an account of the lectures of Abhay Ashtekar that brings a complementary point of view to non-commutativity.An alternative quantization procedure is known under the name of string theory. In chapter 6 its supersymmetric version is presented. Superstrings have drawn the attention of many mathematicians, due to its various fruitful interactions with algebraic geometry, some of which are described here. The remaining chapters discuss further topics, as the Batalin-Vilkovisky formalism and direct products of spectral triples.This volume addresses both physicists and mathematicians and serves as an introduction to ongoing research in very active areas of mathematics and physics at the border line between geometry, topology, algebra and quantum field theory.

Product Identifiers

Publisher
Springer International Publishing Ag
ISBN-13
9783319880266
eBay Product ID (ePID)
3046455369

Product Key Features

Author
Hernan Ocampo, Sylvie Paycha, Andres F. Reyes Lega, Pedro Morales, Alexander Cardona
Publication Name
Quantization, Geometry and Noncommutative Structures in Mathematics and Physics
Format
Paperback
Language
English
Subject
Mathematics, Physics
Publication Year
2018
Type
Textbook
Number of Pages
341 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
5329g

Additional Product Features

Series Title
Mathematical Physics Studies
Country/Region of Manufacture
Switzerland
Editor
Sylvie Paycha, Hernan Ocampo, Andres F. Reyes Lega, Pedro Morales, Alexander Cardona

Best Selling in Adult Learning & University

See all

Current slide {CURRENT_SLIDE} of {TOTAL_SLIDES}- Best Selling in Adult Learning & University

Permaculture: A Designer's Manual by Bill Mollison (Hardcover, 1988)
5.0 out of 5 stars based on 12 product ratings
AU $180.00 New
---- Used
Time Management by Peter Quarry (Paperback, 1986)
No ratings or reviews yet.
AU $16.99 New
---- Used
1177 B.C.: The Year Civilization Collapsed: Revised and Updated by Eric H. Cline (Paperback, 2021)
No ratings or reviews yet.
AU $36.80 New
---- Used
The AFib Cure: Get Off Your Medications, Take Control of Your Health, and Add Years to Your Life by John D. Day, Matthew LaPlante, T. Jared Bunch (Paperback, 2021)
No ratings or reviews yet.
AU $41.51 New
---- Used
The Personal MBA 10th Anniversary Edition by Josh Kaufman (Paperback, 2020)
5.0 out of 5 stars based on 1 product rating
AU $41.67 New
---- Used
Holistic Management Handbook, Third Edition: Regenerating Your Land and Growing Your Profits by Allan Savory, Jody Butterfield, Sam Bingham (Paperback, 2019)
No ratings or reviews yet.
AU $76.97 New
---- Used
Plague of Corruption: Restoring Faith in the Promise of Science by Judy Mikovits, Kent Heckenlively (Paperback, 2021)
No ratings or reviews yet.
AU $34.17 New
AU $29.47 Used

Save on Adult Learning & University

Current slide {CURRENT_SLIDE} of {TOTAL_SLIDES}- Save on Adult Learning & University

The Fourth Turning By Neil Howe, William Strauss
AU $26.99
Trending at AU $32.04
NEW The Red Book By Carl Jung Hardcover Free Shipping
AU $322.60
Trending at AU $396.39
Gears and Gear Cutting (Workshop Practice) by Law, Ivan R.
AU $21.36
Trending at AU $23.16
Elaine Pagels The Gnostic Gospels (Paperback)
AU $23.17
Trending at AU $26.42
Linux Basics For Hackers: Getting Started with Networking-Au
AU $48.45
Trending at AU $51.71
The Concise Mastery by Robert Greene (Paperback) FREE Shipping
AU $20.95
Trending at AU $22.62

Shop by category

Quantization, Geometry and Noncommutative Structures in Mathematics and Physics by Hernan Ocampo, Sylvie Paycha, Andres F. Reyes Lega, Pedro Morales, Alexander Cardona (Paperback, 2018)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

Permaculture: A Designer's Manual by Bill Mollison (Hardcover, 1988)

Time Management by Peter Quarry (Paperback, 1986)

1177 B.C.: The Year Civilization Collapsed: Revised and Updated by Eric H. Cline (Paperback, 2021)

The AFib Cure: Get Off Your Medications, Take Control of Your Health, and Add Years to Your Life by John D. Day, Matthew LaPlante, T. Jared Bunch (Paperback, 2021)

The Personal MBA 10th Anniversary Edition by Josh Kaufman (Paperback, 2020)

Holistic Management Handbook, Third Edition: Regenerating Your Land and Growing Your Profits by Allan Savory, Jody Butterfield, Sam Bingham (Paperback, 2019)

Plague of Corruption: Restoring Faith in the Promise of Science by Judy Mikovits, Kent Heckenlively (Paperback, 2021)

Save on Adult Learning & University

The Fourth Turning By Neil Howe, William Strauss

NEW The Red Book By Carl Jung Hardcover Free Shipping

Gears and Gear Cutting (Workshop Practice) by Law, Ivan R.

Elaine Pagels The Gnostic Gospels (Paperback)

Linux Basics For Hackers: Getting Started with Networking-Au

The Concise Mastery by Robert Greene (Paperback) FREE Shipping

You may also like

Geometry Paperback Adult Learning & University Books

Non-Fiction Mathematics Paperback Fiction & Books

Physics Paperback Adult Learning & University Books

Mathematics Paperback Adult Learning & University Books

Physics Paperback School Textbooks & Study Guides

Mathematics Paperback School Textbooks & Study Guides in Japanese