|
|
libcats.org
Lie Algebras and ApplicationsFrancesco IachelloThis 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 algebras, their representations and their invariants. The second part contains 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 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.
Популярные книги за неделю:
Система упражнений по развитию способностей человека (Практическое пособие)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 818 Kb
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Только что пользователи скачали эти книги:
Carey Rockwell - Tom Corbett Space Cadet 08 - The Robot RocketАвтор: Rockwell Carey
Размер книги: 235 Kb
Introduction to Conservation GeneticsАвтор: Richard Frankham, Автор: Jonathan D. Ballou, Автор: David A. BriscoeКатегория: Biology
Размер книги: 11.42 Mb
VLSI Physical Design: From Graph Partitioning to Timing ClosureАвтор: Andrew B. Kahng, Автор: Jens Lienig, Автор: Igor L. Markov, Автор: Jin Hu
Размер книги: 24.35 Mb
Remediation: understanding new mediaАвтор: Jay David Bolter, Автор: Richard Grusin
Размер книги: 16.26 Mb
A Primer for Chiral Perturbation TheoryАвтор: Stefan Scherer, Автор: Matthias R. Schindler
Размер книги: 2.73 Mb
|
|
|