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，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，爱因相对论引入本书也是很有必要。各章末的助于读者理解掌握本章内容。
目录
1 Origins and Concepts 1.1 Introduction 1.2 Magism 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 Magic 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 Questions2 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 Exercises3 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 Exercises4 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 Magostatics6 Applications of Magostatics7 Particle Motion8 Green's Functions9 Laplace's Equation10 Time Dependence11 Electromagic Waves12 Energy and Momentum13 Special Relativity14 Radiation15 Fields in Matter16 Waves in Dispersive MediaAppendixReferencesIndex
