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狭义相对论的数学表述PDF|Epub|txt|kindle电子书版本网盘下载
- A.Das 著
- 出版社： 北京;西安：世界图书出版公司
- ISBN：7506236257
- 出版时间：1998
- 标注页数：214页
- 文件大小：5MB
- 文件页数：227页
- 主题词：
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图书目录
Chapter1.Four-Dimensional Vector Spaces and Linear Mappings1
1.1.Minkowski Vector Space V41
1.2.Lorentz Mappings of V48
1.3.The Minkowski Tensors13
Chapter2.Flat Minkowski Space-Time Manifold M4 and Tensor Fields20
2.1.A Four-Dimensional Differentiable Manifold20
2.2.Minkowski Space-Time M4 and the Separation Function25
2.3.Flat Submanifolds of Minkowski Space-Time M435
2.4.Minkowski Tensor Fields on M441
Chapter3.The Lorentz Transformation48
3.1.Applications of the Lorentz Transformation48
3.2.The Lorentz Group ?455
3.3.Real Representations of the Lorentz Group ?459
3.4.The Lie Group ?+4+63
Chapter4.Pauli Matrices，Spinors，Dirac Matrices，and Dirac Bispinors72
4.1.Pauli Matrices，Rotations，and Lorentz Transformations72
4.2.Spinors and Spinor-Tensors79
4.3.Dirac Matrices and Dirac Bispinors85
Chapter5.The Special Relativistic Mechanics89
5.1.The Prerelativistic Particle Mechanics89
5.2.Prerelativistic Particle Mechanics in Space and Time E3×R95
5.3.The Relativistic Equation of Motion of a Particle100
5.4.The Relativistic Lagrangian and Hamiltonian Mechanics of a Particle108
Chapter6.The Special Relativistic Classical Field Theory120
6.1.Variational Formalism for Relativistic Classical Fields120
6.2.The Klein-Gordon Scalar Field133
6.3.The Electromagnetic Tensor Field140
6.4.Nonabelian Gauge Fields147
6.5.The Dirac Bispinor Field151
6.6.Interaction of the Dirac Field with Gauge Fields160
Chapter7.The Extended(or Covariant)Phase Space and Classical Fields168
7.1.Classical Fields168
7.2.The Generalized Klein-Gordon Equation175
7.3.Spin-1/2 Fields in the Extended Phase Space190
Answers and Hints to Selected Exercises202
Index of Symbols204
Subject Index207