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...
Сохранить в:
| Главный автор: | |
|---|---|
| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Редактирование: | 1st ed. 2006. |
| Серии: | Lecture Notes in Physics
708 |
| Предметы: | |
| Online-ссылка: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Lie algebras and applications, Francesco Iachello, 2006, Berlin, Springer, 1 vol. (XIV-196 p.), Lecture notes in physics, 3-540-36236-3 • Lie Algebras and Applications, Texte imprimé, 9783642071621 • Lie Algebras and Applications, Texte imprimé, 9783540826569 • Lie algebras and applications, Francesco Iachello, 2006, Berlin, Springer, 1 vol. (XIV-196 p.), Lecture notes in physics, 3-540-36236-3 • Lie Algebras and Applications, Texte imprimé, 9783642071621 • Lie Algebras and Applications, Texte imprimé, 9783540826569 • Lie algebras and applications, Francesco Iachello, 2006, Berlin, Springer, 1 vol. (XIV-196 p.), Lecture notes in physics, 3-540-36236-3 |
| Итог: | 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 |
|---|---|
| Примечание: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9783540362395 |
| ISSN: | 1616-6361 |
| Доступ: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |