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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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
Table of contents (49 chapters)
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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