Lie Algebras and Applications

• Main Author: Iachello, Francesco (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Series: Lecture Notes in Physics, 708
• Subjects: Physics.; Topological groups.; Lie groups.; Quantum physics.; Nuclear physics.; Atomic structure.; Molecular structure.; Spectra.; Mathematical Methods in Physics.; Topological Groups, Lie Groups.; Atomic/Molecular Structure and Spectra.; Particle and Nuclear Physics.; Quantum Physics.

This book, designed for advanced graduate students and post-graduate researchers, provides an introduction to Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nuclei and hadrons. In the first part, a concise exposition is given of the basic concepts of Lie algebra...

Table of Contents:

• 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.