Check nearby libraries
Buy this book
![Loading indicator](/images/ajax-loader-bar.gif)
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 includes a description of how Lie algebras are used in practice in the treatment of bosonic and fermionic systems. Physical applications considered include rotations and vibrations of molecules (vibron model), collective modes in nuclei (interacting boson model), the atomic shell model, the nuclear shell model, and the quark model of hadrons. One of the key concepts in the application of Lie algebraic methods in physics, that of spectrum generating algebras and their associated dynamic symmetries, is also discussed.
The book highlights a number of examples that help to illustrate the abstract algebraic definitions and includes 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. For this new edition, the text has been carefully revised and expanded; in particular, a new chapter has been added on the deformation and contraction of Lie algebras. From the reviews of the first edition: "Iachello has written a pedagogical and straightforward presentation of Lie algebras [...]. 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 [...] written by one of the leading experts in the field [...] 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 [...] and leaving the embarrassing theoretical presentations aside." (Rutwig Campoamor-Stursberg, Zentralblatt MATH, Vol. 1156, 2009)
Check nearby libraries
Buy this book
![Loading indicator](/images/ajax-loader-bar.gif)
Previews available in: English
Subjects
Lie algebras, Theoretische Physik, Lie, Algèbres de, Lie-Algebra, Quantum theory, Elementary Particles and Nuclei, Atomic and Molecular Structure and Spectra, Lie Groups Topological Groups, Mathematical Methods in Physics, Physics, Molecular structure, Mathematical physics, Topological groups, Particles (Nuclear physics), Mathematical Applications in the Physical Sciences, Quantum Physics, Particle and Nuclear Physics, Atomic, Molecular, Optical and Plasma PhysicsShowing 5 featured editions. View all 5 editions?
Edition | Availability |
---|---|
1 |
zzzz
Libraries near you:
WorldCat
|
2 |
zzzz
Libraries near you:
WorldCat
|
3 |
zzzz
Libraries near you:
WorldCat
|
4 |
zzzz
Libraries near you:
WorldCat
|
5
Lie Algebras and Applications
October 5, 2006, Springer
Hardcover
in English
- 1 edition
3540362363 9783540362364
|
aaaa
Libraries near you:
WorldCat
|
Book Details
Edition Notes
Lecture Notes in Physics
Classifications
The Physical Object
ID Numbers
Source records
amazon.com recordLibrary of Congress MARC record
Library of Congress MARC record
Internet Archive item record
Internet Archive item record
Internet Archive item record
Internet Archive item record
Internet Archive item record
Library of Congress MARC record
Internet Archive item record
amazon.com record
Promise Item
marc_columbia MARC record
harvard_bibliographic_metadata record
Community Reviews (0)
Feedback?August 12, 2024 | Edited by MARC Bot | import existing book |
January 5, 2023 | Edited by MARC Bot | import existing book |
July 5, 2019 | Edited by MARC Bot | import existing book |
July 28, 2014 | Edited by ImportBot | import new book |
December 10, 2009 | Created by WorkBot | add works page |