作者：(美)C.S.赫尔里克(CarlS
页数：446
出版社：世界图书出版公司
出版日期：2017
ISBN：9787519229269
电子书格式：pdf/epub/txt
内容简介
《经典场论》是Springer《物理学研究生丛书》之一，全书共设16章，该书向读者呈现了作为理论物理精髓的经典场论的美。为了使全书内容完备流畅，本书以介绍经典场论的历史开头，以包含数学证明的附录结尾。格林函数、拉普拉斯方程和法拉第实验的讨论可以加深对量子场论的理解，爱因斯坦相对论引入本书也是很有必要。各章末的习题有助于读者理解掌握本章内容。
作者简介
Carl S. Helrich （C. S. 赫尔里克，美国）是美国Goshen学院教授和博士生导师,是理论物理领域知名学者
本书特色
《经典场论》是Springer《物理学研究生丛书》之一，全书共设16章，该书向读者呈现了作为理论物理精髓的经典场论的美。为了使全书内容完备流畅，本书以介绍经典场论的历史开头，以包含数学证明的附录结尾。格林函数、拉普拉斯方程和法拉第实验的讨论可以加深对量子场论的理解，爱因斯坦相对论引入本书也是很有必要。各章末的习题有助于读者理解掌握本章内容。
目录
1 Origins and Concepts
1.1 Introduction
1.2 Magnetism
1.3 Gravitation
1.4 Faraday, Thomson, and Maxwell
1.5 Gravitation a Vector Field
1.6 Charges and Electric Fields
1.7 Priestly’s Speculation
1.8 Voltaic Cell
1.9 Currents and Magnetic Fields
1.9.1 Oersted
1.9.2 Ampere
1.9.3 Electrical current
1.10 Induced Electric Field
1.11 The Mathematical Theory
1.11.1 The field equations
1.11.2 Maxwell
1.12 Experimental Evidence
1.12.1 Waves in the laboratory
1.12.2 Wave energy and momentum
1.13 Michelson and Morley Experiment
1.14 Relativity
1.15 Summary
Questions
2 Mathematical Background
2.1 Introduction
2.2 Vectors
2.2.1 The Vector Space
2.2.2 Representation
2.2.3 Scalar Product
2.2.4 Vector Product
2.3 Multivariate Functions
2.3.1 Differentials
2.3.2 Cylindrical Coordinates
2.3.3 Spherical Coordinates
2.4 Analytic Functions
2.4.1 Taylor Series
2.4.2 Analyticity
2.5 Vector Calculus
2.5.1 Field Quantities
2.5.2 The Gradient
2.5.3 The Divergence
2.5.4 The Curl
2.5.5 The Laplacian Operator
2.6 Differential Equations
2.6.1 Helmholtz’ Theorem
2.6.2 The Del Operator
2.6.3 Dirac Delta Function
2.7 Summary
Exercises
3 Electrostatics
3.1 Introduction
3.2 Coulomb’s Law
3.2.1 Coulomb’s Experiment
3.2.2 Units
3.3 Superposition
3.4 Distributions of’Charges
3.4.1 Distribution of Point Charges
3.4.2 Volume Charge Density
3.4.3 Surface Charge Density
3.5 The Field Concept
3.6 Divergence and Curl of E
3.7 Integral Electrostatic Field Equations
3.7.1 Gauss’ Theorem
3.7.2 Stokes’ Theorem
3.8 Summary
Exercises
4 The Scalar Potential
4.1 Introduction
4.2 Potential Energy
4.3 Potential Surfaces
4.4 Poisson’s Equation
4.5 Multipole Expansion
4.6 Energy Storage
4.6.1 Electrostatic Energy Density
4.6.2 Energy of a Set of Conductors
……
5 Magnetostatics
6 Applications of Magnetostatics
7 Particle Motion
8 Green’s Functions
9 Laplace’s Equation
10 Time Dependence
11 Electromagnetic Waves
12 Energy and Momentum
13 Special Relativity
14 Radiation
15 Fields in Matter
16 Waves in Dispersive Media
Appendix
References
Index
1.1 Introduction
1.2 Magnetism
1.3 Gravitation
1.4 Faraday, Thomson, and Maxwell
1.5 Gravitation a Vector Field
1.6 Charges and Electric Fields
1.7 Priestly’s Speculation
1.8 Voltaic Cell
1.9 Currents and Magnetic Fields
1.9.1 Oersted
1.9.2 Ampere
1.9.3 Electrical current
1.10 Induced Electric Field
1.11 The Mathematical Theory
1.11.1 The field equations
1.11.2 Maxwell
1.12 Experimental Evidence
1.12.1 Waves in the laboratory
1.12.2 Wave energy and momentum
1.13 Michelson and Morley Experiment
1.14 Relativity
1.15 Summary
Questions
2 Mathematical Background
2.1 Introduction
2.2 Vectors
2.2.1 The Vector Space
2.2.2 Representation
2.2.3 Scalar Product
2.2.4 Vector Product
2.3 Multivariate Functions
2.3.1 Differentials
2.3.2 Cylindrical Coordinates
2.3.3 Spherical Coordinates
2.4 Analytic Functions
2.4.1 Taylor Series
2.4.2 Analyticity
2.5 Vector Calculus
2.5.1 Field Quantities
2.5.2 The Gradient
2.5.3 The Divergence
2.5.4 The Curl
2.5.5 The Laplacian Operator
2.6 Differential Equations
2.6.1 Helmholtz’ Theorem
2.6.2 The Del Operator
2.6.3 Dirac Delta Function
2.7 Summary
Exercises
3 Electrostatics
3.1 Introduction
3.2 Coulomb’s Law
3.2.1 Coulomb’s Experiment
3.2.2 Units
3.3 Superposition
3.4 Distributions of’Charges
3.4.1 Distribution of Point Charges
3.4.2 Volume Charge Density
3.4.3 Surface Charge Density
3.5 The Field Concept
3.6 Divergence and Curl of E
3.7 Integral Electrostatic Field Equations
3.7.1 Gauss’ Theorem
3.7.2 Stokes’ Theorem
3.8 Summary
Exercises
4 The Scalar Potential
4.1 Introduction
4.2 Potential Energy
4.3 Potential Surfaces
4.4 Poisson’s Equation
4.5 Multipole Expansion
4.6 Energy Storage
4.6.1 Electrostatic Energy Density
4.6.2 Energy of a Set of Conductors
……
5 Magnetostatics
6 Applications of Magnetostatics
7 Particle Motion
8 Green’s Functions
9 Laplace’s Equation
10 Time Dependence
11 Electromagnetic Waves
12 Energy and Momentum
13 Special Relativity
14 Radiation
15 Fields in Matter
16 Waves in Dispersive Media
Appendix
References
Index
