Quantum Theory, Groups and Representations

An Introduction

Authors: Woit, Peter

  • 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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eBook $69.99
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  • ISBN 978-3-319-64612-1
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Hardcover $89.99
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About this Textbook

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.

About the authors

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.

Table of contents (49 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-64612-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA
  • ISBN 978-3-319-64610-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Quantum Theory, Groups and Representations
Book Subtitle
An Introduction
Authors
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Peter Woit
eBook ISBN
978-3-319-64612-1
DOI
10.1007/978-3-319-64612-1
Hardcover ISBN
978-3-319-64610-7
Edition Number
1
Number of Pages
XXII, 668
Number of Illustrations and Tables
27 b/w illustrations
Topics