☆☆☆☆☆




點擊這裡下載

類似圖書 點擊查看全場最低價

---

內容簡介

　　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.

內頁插圖

目錄

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

物理學傢用的張量和群論導論 [An Introduction to Tensors and Group Theory for Physicists] 下載 mobi epub pdf txt 電子書

評分☆☆☆☆☆

東西不錯，希望一直好用。

評分☆☆☆☆☆

送貨快 書質量不錯

評分☆☆☆☆☆

應該可以把，書比較薄，但是值得一看。。。。。。。。。。。。。。。。。

評分☆☆☆☆☆

經典書籍，買來收藏，以後應該會用到。

評分☆☆☆☆☆

不錯，就是有點褶皺。

評分☆☆☆☆☆

看著不錯

評分☆☆☆☆☆

看著不錯

評分☆☆☆☆☆

送貨快 書質量不錯

評分☆☆☆☆☆

書質量沒有問題。不過這次速度實在太慢，而且包裝那麼差，箱子的四個角全都爛瞭。不像京東的作風。綜閤三分

類似圖書 點擊查看全場最低價

查看全網最低價