物理学家用的张量和群论导论 [An Introduction to Tensors and Group Theory for Physicists] epub pdf mobi txt 电子书 下载 2024

物理学家用的张量和群论导论 [An Introduction to Tensors and Group Theory for Physicists] epub pdf mobi txt 电子书 下载 2024

☆☆☆☆☆
简体网页||繁体网页



点击这里下载

物理学家用的张量和群论导论 [An Introduction to Tensors and Group Theory for Physicists] epub pdf mobi txt 电子书 下载 2024

类似图书 点击查看全场最低价

---

内容简介

　　This book is composed of two parts: Part I （Chaps. I through 3） is an introduction to tensors and their physical applications， and Part II （Chaps. 4 through 6） introduces group theory and intertwines it with the earlier material. Both parts are written at the advanced-undergraduate/beginning graduate level， although in the course of' Part II the sophistication level rises somewhat. Though the two parts differ somewhat in flavor，l have aimed in both to fill a （perceived） gap in the literaiure by connecting
　　the component formalisms prevalent in physics calculations to the abstract but more conceptual formulations found in the math literature. My firm beliefis that we need to see tensors and groups in coordinates to get a sense of how they work， but also need an abstract formulation to understand their essential nature and organize our thinking about them.

内页插图

目录

Part I Linear Algebra and Tensors
I A Quicklntroduction to Tensors
2 VectorSpaces
2.1 Definition and Examples
2.2 Span,Linearlndependence,and Bases
2.3 Components
2.4 LinearOperators
2.5 DuaISpaces
2.6 Non-degenerate Hermitian Forms
2.7 Non-degenerate Hermitian Forms and Dual Spaces
2.8 Problems
3 Tensors
3.1 Definition and Examples
3.2 ChangeofBasis
3.3 Active and Passive Transformations
3.4 The Tensor Product-Definition and Properties
3.5 Tensor Products of V and V*
3.6 Applications ofthe Tensor Product in Classical Physics
3.7 Applications of the Tensor Product in Quantum Physics
3.8 Symmetric Tensors
3.9 Antisymmetric Tensors
3.10 Problems

Partll GroupTheory
4 Groups, Lie Groups,and Lie Algebras
4.1 Groups-Definition and Examples
4.2 The Groups ofClassical and Quantum Physics
4.3 Homomorphismandlsomorphism
4.4 From Lie Groups to Lie Algebras
4.5 Lie Algebras-Definition,Properties,and Examples
4.6 The Lie Algebras ofClassical and Quantum Physics
4.7 AbstractLieAlgebras
4.8 Homomorphism andlsomorphism Revisited
4.9 Problems
5 Basic Representation Theory
5.1 Representations: Definitions and Basic Examples
5.2 FurtherExamples
5.3 TensorProduet Representations
5.4 Symmetric and Antisymmetric Tensor Product Representations
5.5 Equivalence ofRepresentations
5.6 Direct Sums andlrreducibility
5.7 Moreonlrreducibility
5.8 Thelrreducible Representations ofsu（2）,SU（2） and S0（3）
5.9 ReaIRepresentations andComplexifications
5.10 The Irreducible Representations of st（2, C）nk, SL（2, C） andS0（3,1）o
5.11 Irreducibility and the Representations of 0（3, 1） and Its Double Covers
5.12 Problems
6 The Wigner-Eckart Theorem and Other Applications
6.1 Tensor Operators, Spherical Tensors and Representation Operators
6.2 Selection Rules and the Wigner-Eckart Theorem
6.3 Gamma Matrices and Dirac Bilinears
6.4 Problems
Appendix Complexifications of Real Lie Algebras and the Tensor
Product Decomposition ofsl（2,C）rt Representations
A.1 Direct Sums and Complexifications ofLie Algebras
A.2 Representations of Complexified Lie Algebras and the Tensor
Product Decomposition ofst（2,C）R Representations
References
Index

前言/序言

物理学家用的张量和群论导论 [An Introduction to Tensors and Group Theory for Physicists] epub pdf mobi txt 电子书 下载 2024

物理学家用的张量和群论导论 [An Introduction to Tensors and Group Theory for Physicists] 下载 epub mobi pdf txt 电子书 2024

评分☆☆☆☆☆

影印版，挺不错的，包装好，字体清晰。

评分☆☆☆☆☆

挺好的，下次有需要还是选择京东～～～

评分☆☆☆☆☆

英文版，印刷不错

评分☆☆☆☆☆

很好，孩子喜欢看

评分☆☆☆☆☆

特价买的，很好很不错很满意

评分☆☆☆☆☆

送货快 书质量不错

评分☆☆☆☆☆

很有用的书

评分☆☆☆☆☆

以前从来不评论的，不知道浪费多少积分，自从知道评论可以得到积分以后，每次来这里复制粘贴

评分☆☆☆☆☆

书质量没有问题。不过这次速度实在太慢，而且包装那么差，箱子的四个角全都烂了。不像京东的作风。综合三分

类似图书 点击查看全场最低价