## Overview

- 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
- Includes supplementary material: sn.pub/extras

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## Table of contents (49 chapters)

## Keywords

- Lie algebras
- Lie groups
- quantization
- quantum fields
- quantum mechanics
- representation theory
- Standard Model of particle physics
- unitary group representations
- two-state systems
- Lie algebra representations
- rotation and spin groups
- momentum and free particle
- fourier analysis and free particle
- Schroedinger representation
- Heisenberg group
- Poisson bracket and symplectic geometry
- Hamiltonian vector fields
- quantum free particle
- metaplectic representation
- Fermionic oscillator

## About this book

## Reviews

## Authors and Affiliations

## About the author

**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.

## Bibliographic Information

Book Title: Quantum Theory, Groups and Representations

Book Subtitle: An Introduction

Authors: Peter Woit

DOI: https://doi.org/10.1007/978-3-319-64612-1

Publisher: Springer Cham

eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

Copyright Information: Peter Woit 2017

Hardcover ISBN: 978-3-319-64610-7Published: 09 November 2017

Softcover ISBN: 978-3-319-87835-5Published: 18 May 2018

eBook ISBN: 978-3-319-64612-1Published: 01 November 2017

Edition Number: 1

Number of Pages: XXII, 668

Number of Illustrations: 27 b/w illustrations

Topics: Mathematical Physics, Group Theory and Generalizations, Topological Groups, Lie Groups, Quantum Physics