Overview
- Direct access to the Lie algebras su(n) requiring only knowledge from linear algebra
- Detailed investigation of su(2), su(3) and su(4)
- Fundamental knowledge for physical applications like the formulation of symmetries of Hamiltonian systems, the description of atomic, molecular and nuclear spectra, the physics of elementary particles
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Table of contents (6 chapters)
Keywords
About this book
Lie algebras are efficient tools for analyzing the properties of physical systems. Concrete applications comprise the formulation of symmetries of Hamiltonian systems, the description of atomic, molecular and nuclear spectra, the physics of elementary particles and many others. This work gives an introduction to the properties and the structure of the Lie algebras su(n). First, characteristic quantities such as structure constants, the Killing form and functions of Lie algebras are introduced. The properties of the algebras su(2), su(3) and su(4) are investigated in detail. Geometric models of the representations are developed. A lot of care is taken over the use of the term "multiplet of an algebra".
The book features an elementary (matrix) access to su(N)-algebras, and gives a first insight into Lie algebras. Student readers should be enabled to begin studies on physical su(N)-applications, instructors will profit from the detailed calculations and examples.
Authors and Affiliations
Bibliographic Information
Book Title: The Lie Algebras su(N)
Book Subtitle: An Introduction
Authors: Walter Pfeifer
DOI: https://doi.org/10.1007/978-3-0348-8097-8
Publisher: Birkhäuser Basel
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eBook Packages: Springer Book Archive
Copyright Information: Springer Basel AG 2003
Softcover ISBN: 978-3-7643-2418-6Published: 23 July 2003
eBook ISBN: 978-3-0348-8097-8Published: 06 December 2012
Edition Number: 1
Number of Pages: X, 432
Topics: Associative Rings and Algebras, Geometry, Mathematical Methods in Physics