狭义相对论的数学表述
1998-3
世界图书出版公司
A.Das
214
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The material in this book is presented in a logical sequence rather than a historical sequence. Thus, we feel obligated to sketch briefly the history of the special theory of relativity. The brilliant experiments of Michelson and Morley in 1887 demonstrated the astonishing fact that the speed of light is independent of the state of relative linear motion of the source of light and the observer of the light. This fact necessitates the modification of the usual Galilean transformation (between two relatively moving observers), which tacitly assumes that time and space are absolute.
Preface Chapter 1 Four-Dimensional Vector Spaces and Linear Mappings 1.1 Minkowski Vector Space V4 1.2 Lorentz Mappings of V4 1.3 The Minkowski Tensors Chapter 2 Flat Minkowski Space-Time Manifold M4 and Tensor Fields 2.1 A Four-Dimensional Differentiable Manifold 2.2 Minkowski Space-Time M4 and the Separation Function 2.3 Flat Submanifolds of Minkowski Space-Time M4 2.4 Minkowski Tensor Fields on M4 Chapter 3 The Lorentz Transformation 3.1 Applications of the Lorentz Transformation 3.2 The Lorentz Group L4 3.3 Real Representations of the Lorentz-Group L4 3.4 The Lie Group L+4+ Chapter 4 Pauli Matrices， Spinors，Dirac Matrices， and Dirac Bispinors 4.1 Pauli Matrices， Rotations，and Lorentz Transformations 4.2 Sinors and Spinor-Tensors 4.3 Dirac Matrices and Dirac BispinorsChapter 5 The Special Relativistic Mechanics 5.1 The Prerelativistic Particle Mechanics 5.2 Prerelativistic Particle Mechanics in Space and Time E3xR 5.3 The Relativistic Equation of Motion of a ParticalChapter 6 The Special Relativistic Calssical Field Theory 6.1 Variational Formalism for Relativistic Classical Fields 6.2 The Klein-Gordon Scalar Field 6.3 The Electromagnetic Tensor Field 6.4 Nonabelian Gauge Fields 6.5 The Dirac Bispinor Field 6.6 Interaction of the Dirac Field whit Gauge FieldsChapter 7 7.1 Classical Fields 7.2 The Generalized Klein-Gordion Equation 7.3 Spin-1/2 Fields in the Extended Phase SpaceAnswers and Hints to Selected ExercisesIndex of SymbolsSubject Index
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