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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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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, 2015.
Edición:2nd ed. 2015.
Colección:Lecture Notes in Physics, 891
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.