Lie Algebras and Applications
This course-based primer provides an introduction to Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nuclei and hadrons. In the first part, it concisely presents the basic concepts of Lie algebras, their representations and their invariants. The second part inclu...
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| Language: | English |
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Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2015.
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| Edition: | 2nd ed. 2015. |
| Series: | Lecture Notes in Physics,
891 |
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| Online Access: | https://doi.org/10.1007/978-3-662-44494-8 |
Table of Contents:
- Basic Concepts
- Semisimple Lie Algebras
- Lie Groups
- Lie Algebras and Lie Groups
- Homogeneous and Symmetric Spaces (Coset Spaces). - Irreducible Bases (Representations)
- Casimir Operators and Their Eigenvalues
- Tensor Operators
- Boson Realizations
- Fermion Realizations
- Differential Realizations
- Matrix Realizations
- Coset Spaces
- Spectrum Generating Algebras and Dynamic Symmetries
- Degeneracy Algebras and Dynamical Alebras
- Index.