Lie Algebras and Applications

1. Auflage 2006
ISBN: 978-3-540-36236-4
Verlag: Springer

Buch, Englisch, Band 708, 196 Seiten, GB, Format (B × H): 155 mm x 235 mm, Gewicht: 1050 g

Reihe: Lecture Notes in Physics

This book, designed for advanced graduate students and post-graduate researchers, introduces Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nuclei and hadrons. The book contains many examples that help to elucidate the abstract algebraic definitions. It provides a summary of many formulas of practical interest, such as the eigenvalues of Casimir operators and the dimensions of the representations of all classical Lie algebras.

Zielgruppe

Research

Autoren/Hrsg.

Iachello, Francesco

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Quantenphysik Teilchenphysik
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

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.