The Lie Algebras su(N) [electronic resource] : An Introduction /

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.

Bibliographic Details

Main Authors:	Pfeifer, Walter. author., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2003
Subjects:	Mathematics., Associative rings., Rings (Algebra)., Geometry., Physics., Associative Rings and Algebras., Mathematical Methods in Physics.,
Online Access:	http://dx.doi.org/10.1007/978-3-0348-8097-8
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