| 书目名称 | Primer for Point and Space Groups | | 编辑 | Richard L. Liboff | | 视频video | | | 丛书名称 | Undergraduate Texts in Contemporary Physics | | 图书封面 |  | | 描述 | This text stems from a course I have taught a number of times, attended by students of material science, electrical engineering, physics, chemistry, physical chemistry and applied mathematics. It is intended as an intro ductory discourse to give the reader a first encounter with group theory. The work concentrates on point and space groups as these groups have the principal application in technology. Here is an outline of the salient features of the chapters. In Chapter 1, basic notions and definitions are introduced including that of Abelian groups, cyclic groups, Sylow‘s theorems, Lagrange‘s subgroup theorem and the rearrangement theorem. In Chapter 2, the concepts of classes and direct products are discussed. Applications of point groups to the Platonic solids and non-regular dual polyhedra are described. In Chapter 3, matrix representation of operators are introduced leading to the notion of irreducible representations (‘irreps‘). The Great Orthogonal ity Theorem (GOT) is also introduced, followed by six important rules relating to dimensions of irreps. Schur‘s lemma and character tables are described. Applications to quantum mechanics are discussed in Chapter 4 including des | | 出版日期 | Textbook 2004 | | 关键词 | Abstract algebra; Group theory; Operator; Point group; Symmetry group; mechanics; quantum mechanics | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4684-9383-2 | | isbn_softcover | 978-1-4419-2317-2 | | isbn_ebook | 978-1-4684-9383-2 | | copyright | Springer-Verlag New York 2004 |
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发表于 2025-3-21 17:52:41
