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Lie Algebras and Applications

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Iachello, Francesco (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:Lecture Notes in Physics, 708
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Lie Algebras and Applications  |h [electronic resource] /  |c by Francesco Iachello. 
250 |a 1st ed. 2006. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2006. 
300 |a XIV, 196 p. 26 illus.  |b online resource. 
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490 1 |a Lecture Notes in Physics,  |x 1616-6361 ;  |v 708 
505 0 |a 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. 
520 |a 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 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. 
650 0 |a Mathematical physics. 
650 0 |a Topological groups. 
650 0 |a Lie groups. 
650 0 |a Atomic structure  . 
650 0 |a Molecular structure . 
650 0 |a Nuclear physics. 
650 0 |a Quantum physics. 
650 1 4 |a Mathematical Methods in Physics. 
650 2 4 |a Topological Groups and Lie Groups. 
650 2 4 |a Atomic and Molecular Structure and Properties. 
650 2 4 |a Nuclear and Particle Physics. 
650 2 4 |a Quantum Physics. 
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