书目名称 | Lie Algebras and Applications | 编辑 | Francesco Iachello | 视频video | | 概述 | Short, concise introduction to these important concepts specifically designed for mathematical and theoretical physicists | 丛书名称 | Lecture Notes in Physics | 图书封面 |  | 描述 | In the second part of the 20th century, algebraic methods have emerged as a powerful tool to study theories of physical phenomena, especially those of quantal systems. The framework of Lie algebras, initially introduced by - phus Lie in the last part of the 19th century, has been considerably expanded to include graded Lie algebras, in?nite-dimensional Lie algebras, and other algebraic constructions. Algebras that were originally introduced to describe certainpropertiesofaphysicalsystem,inparticularbehaviorunderrotations and translations, have now taken center stage in the construction of physical theories. This book contains a set of notes from lectures given at Yale Univ- sity and other universities and laboratories in the last 20 years. The notes are intended to provide an introduction to Lie algebras at the level of a one-semester graduate course in physics. Lie algebras have been particularly useful in spectroscopy, where they were introduced by Eugene Wigner and Giulio Racah. Racah’s lectures were given at Princeton University in 1951 (Group Theory and Spectroscopy) and they provided the impetus for the initial applications in atomic and nuclear physics. In the intervening ye | 出版日期 | Book 20061st edition | 关键词 | Abstract algebra; Boson; Eigenvalue; Matrix; Quark; hadron; molecule | 版次 | 1 | doi | https://doi.org/10.1007/3-540-36239-8 | isbn_softcover | 978-3-642-07162-1 | isbn_ebook | 978-3-540-36239-5Series ISSN 0075-8450 Series E-ISSN 1616-6361 | issn_series | 0075-8450 | copyright | Springer-Verlag Berlin Heidelberg 2006 |
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