| 書目名稱 | Lie Algebras and Applications | | 編輯 | Francesco Iachello | | 視頻video | http://file.papertrans.cn/586/585681/585681.mp4 | | 概述 | Concise and self-contained primer.Includes many worked examples.Written by one of the leading experts in the field | | 叢書名稱 | Lecture Notes in Physics | | 圖書封面 |  | | 描述 | .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 | | 出版日期 | Textbook 2015Latest edition | | 關鍵詞 | Bosonic and fermionic realizations and representations; Casimir operators; Deformed and contracted alg | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-662-44494-8 | | isbn_softcover | 978-3-662-44493-1 | | isbn_ebook | 978-3-662-44494-8Series ISSN 0075-8450 Series E-ISSN 1616-6361 | | issn_series | 0075-8450 | | copyright | Springer-Verlag Berlin Heidelberg 2015 |
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