Lie Algebras and Applications

AvFrancesco Iachello

Häftad, Engelska, 2010

Del i serien Lecture Notes in Physics

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Häftad

534 kr

Beskrivning

The framework of Lie algebras, initially introduced by - phus Lie in the last part of the 19th century, has been considerably expanded to include graded Lie algebras, in?nite-dimensional Lie algebras, and other algebraic constructions.

Produktinformation

Utgivningsdatum:2010-11-19
Mått:155 x 235 x 12 mm
Vikt:324 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Physics
Antal sidor:196
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783642071621

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Recensioner i media

From the reviews: "Iachello has written a pedagogical and straightforward presentation of Lie algebras and some applications to bosonic systems encountered in molecular, atomic, nuclear and particle physics. ... The book should be of interest to graduate students and researchers in physics, although mathematicians and chemists should find it useful as well. It is a great text to accompany a course on Lie algebras and their physical applications." (Marc de Montigny, Mathematical Reviews, Issue, 2007 i) "This book ... a practical introduction to important facts concerning Lie algebras that continuously appear in physical problems, and written by one of the leading experts in the field. ... the book will certainly be of great use for students or specialists that want to refresh their knowledge on Lie algebras applied to physics. ... an excellent reference for those interested in acquiring practical experience in the application and techniques of Lie algebras to physics, and leaving the embarrassing theoretical presentations aside." (Rutwig Campoamor-Stursberg, Zentralblatt MATH, Vol. 1156, 2009)

Innehållsförteckning

Basic Concepts.- Semisimple Lie Algebras.- Lie Groups.- Irreducible Bases (Representations).- Casimir Operators and Their Eigenvalues.- Tensor Operators.- Boson Realizations.- Fermion Realizations.- Differential Realizations.- Matrix Realizations.- Spectrum Generating Algebras and Dynamic Symmetries.- Degeneracy Algebras and Dynamical Algebras.