Classical Electrodynamics And Theory Of Relativity

File : pdf, 844 KB, 163 pages download : http://www.artikel-software.com/blog CONTENTS PREFACE CHAPTER I. ELECTROSTATICS AND MAGNETOSTATICS. 1. Basic experimental facts and unit systems. 2. Concept of near action. 3. Superposition principle. 4. Lorentz force and Biot-Savart-Laplace law. 5. Current density and the law of charge conservation. 6. Electric dipole moment. 7. Magnetic moment. 8. Integral equations of static electromagnetic field. 9. Di#erential equations of static electromagnetic field CHAPTER II. CLASSICAL ELECTRODYNAMICS. 1. Maxwell equations. 2. Density of energy and energy flow for electromagnetic field. 3. Vectorial and scalar potentials of electromagnetic field. 4. Gauge transformations and Lorentzian gauge. 5. Electromagnetic waves. 6. Emission of electromagnetic waves. CHAPTER III. SPECIAL THEORY OF RELATIVITY. 1. Galileo transformations. 2. Lorentz transformations. 3. Minkowsky space. 4. Kinematics of relative motion. 5. Relativistic law of velocity addition. 6. World lines and private time. 7. Dynamics of material point. 8. Four-dimensional form of Maxwell equations. 9. Four-dimensional vector-potential. 10. The law of charge conservation. 11. Note on skew-angular and curvilinear coordinates. CHAPTER IV. LAGRANGIAN FORMALISM IN THEORY OF RELATIVITY. 1. Principle of minimal action for particles and fields. 2. Motion of particle in electromagnetic field. 3. Dynamics of dust matter. 4. Action functional for dust matter. 5. Equations for electromagnetic field. CHAPTER V. GENERAL THEORY OF RELATIVITY. 1. Transition to non-flat metrics and curved Minkowsky space. 2. Action for gravitational field. Einstein equation. 3. Four-dimensional momentum conservation law for fields. 4. Energy-momentum tensor for electromagnetic field. 5. Energy-momentum tensor for dust matter. 6. Concluding remarks. REFERENCES.