Quantum Theory, Groups and Representations

An Introduction

Authors: Woit, Peter

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  • Systematically emphasizes the role of Lie groups, Lie algebras, and their unitary representation theory in the foundations of quantum mechanics
  • Introduces fundamental structures and concepts of representation theory in an elementary, physically relevant context
  • Gives a careful treatment of the mathematical subtleties of quantum theory, without obscuring its global mathematical shape
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  • ISBN 978-3-319-64612-1
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  • ISBN 978-3-319-64610-7
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  • ISBN 978-3-319-87835-5
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この教本について

This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field theory. The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject. This text showcases the numerous differences between typical mathematical and physical treatments of the subject. The latter portions of the book focus on central mathematical objects that occur in the Standard Model of particle physics, underlining the deep and intimate connections between mathematics and the physical world. While an elementary physics course of some kind would be helpful to the reader, no specific background in physics is assumed, making this book accessible to students with a grounding in multivariable calculus and linear algebra. Many exercises are provided to develop the reader's understanding of and facility in quantum-theoretical concepts and calculations.

著者について

Peter Woit is a Senior Lecturer of Mathematics at Columbia University. His general area of research interest is the relationship between mathematics, especially representation theory, and fundamental physics, especially quantum field theories like the Standard Model.

レビュー

“The book presents a large variety of important subjects, including the basic principles of quantum mechanics … . This good book is recommended for mathematicians, physicists, philosophers of physics, researchers, and advanced students in mathematics and physics, as well as for readers with some elementary physics, multivariate calculus and linear algebra courses.” (Michael M. Dediu, Mathematical Reviews, June, 2018)

Table of contents (49 chapters)

Table of contents (49 chapters)

書籍の購入

イーブック ¥4,492
¥8,984 (listprice)
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
有効期限: June 30, 2020
  • ISBN 978-3-319-64612-1
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: PDF, EPUB
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ハードカバー ¥5,615
¥11,231 (listprice)
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
有効期限: June 30, 2020
  • ISBN 978-3-319-64610-7
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
ソフトカバー ¥5,615
¥11,231 (listprice)
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
有効期限: June 30, 2020
  • ISBN 978-3-319-87835-5
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
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書誌情報

Bibliographic Information
Book Title
Quantum Theory, Groups and Representations
Book Subtitle
An Introduction
Authors
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Peter Woit
イーブック ISBN
978-3-319-64612-1
DOI
10.1007/978-3-319-64612-1
ハードカバー ISBN
978-3-319-64610-7
ソフトカバー ISBN
978-3-319-87835-5
Edition Number
1
Number of Pages
XXII, 668
Number of Illustrations
27 b/w illustrations
Topics