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Foundations of Classical and Quantum Electrodynamics / Igor N. Toptygin
Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: Hoboken : Wiley-VCH, 2013Edition: Online-AusgDescription: XIX, 713 S. : graph. DarstISBN:- 9781306190985
- 9783527677498
- 9783527411535
- 530.12
- 530.1433 23
- QC680 .T384 2013
Contents:
Summary: This advanced textbook covers many fundamental, traditional and new branches of electrodynamics, as well as the related fields of special relativity, quantum mechanics and quantum electrodynamics. The book introduces the material at different levels, oriented towards 3rd-4th year bachelor, master, and PhD students. This is so as to describe the whole complexity of physical phenomena, instead of a mosaic of disconnected data. The required mathematical background is collated in Chapter 1, while the necessary physical background is included in the main text of the corresponding chapters and alsoPPN: PPN: 80513610XPackage identifier: Produktsigel: ZDB-26-MYL | ZDB-30-PAD | ZDB-30-PQE
Cover; Title Page; Contents; Preface; Fundamental Constants and Frequently Used Numbers; Basic Notation; 1 The Mathematical Methods of Electrodynamics; 1.1 Vector and Tensor Algebra; 1.1.1 The Definition of a Tensor and Tensor Operations; 1.1.2 The Principal Values and Invariants of a Symmetric Tensor of Rank 2; 1.1.3 Covariant and Contravariant Components; 1.1.4 Tensors in Curvilinear and Nonorthogonal Systems of Coordinates; 1.2 Vector and Tensor Calculus; 1.2.1 Gradient and Directional Derivative. Vector Lines; 1.2.2 Divergence and Curl. Integral Theorems
1.2.3 Solenoidal and Potential (Curl-less) Vectors1.2.4 Differential Operations of Second Order; 1.2.5 Differentiating in Curvilinear Coordinates; 1.2.6 Orthogonal Curvilinear Coordinates; 1.3 The Special Functions of Mathematical Physics; 1.3.1 Cylindrical Functions; 1.3.2 Spherical Functions and Legendre Polynomials; 1.3.3 Dirac Delta Function; 1.3.4 Certain Representations of the Delta Function; 1.3.5 The Representation of the Delta Function through Loop Integrals in a Complex Plane; 1.3.6 Expansion in Total Systems of Orthogonal and Normalized Functions. General Considerations
1.3.7 Fourier Series1.3.8 Fourier Integral; 1.4 Answers and Solutions; 2 Basic Concepts of Electrodynamics: The Maxwell Equations; 2.1 Electrostatics; 2.1.1 The Coulomb Law; 2.1.2 Electric Field; 2.1.3 Energy and Forces in Electrostatic Fields; 2.2 Magnetostatics; 2.2.1 Current Density and the Magnetic Field. Biot-Savart Law; 2.2.2 Lorentz Force and Ampère's Formula; 2.2.3 Conservation of Electric Charge and the Continuity Equation; 2.2.4 Equations of Magnetostatics. Vector Potential; 2.2.5 Energy and Forces in Magnetostatic Fields; 2.3 Maxwell's Equations. Free Electromagnetic Field
2.3.1 The Law of Electromagnetic Induction2.3.2 The Systems of Measurement Units of Electric and Magnetic Values; 2.3.3 An Analysis of the System of Maxwell's Equations; 2.3.4 Free Electromagnetic Field; 2.3.5 The Partial Polarization of Waves; 2.3.6 Analytical Signal; 2.3.7 The Hamiltonian Form of Equations for a Free Electromagnetic Field; 2.4 Answers and Solutions; 3 The Special Theory of Relativity and Relativistic Kinematics; 3.1 The Principle of Relativity and Lorentz Transformations; 3.1.1 Properties of Space-Time and Intervals; 3.1.2 Lorentz Transformations
3.1.3 Pseudo-Euclidean Geometry3.2 Kinematics of Relativistic Particles; 3.2.1 Energy and Momentum; 3.2.2 Kinematic Problems; 3.3 Answers and Solutions; 4 Fundamentals of Relativistic Mechanics and Field Theory; 4.1 Four-Dimensional Vectors and Tensors; 4.1.1 Transformations of Tensors; 4.1.2 Dual Tensors; 4.2 The Motion of Charged Particles in Electromagnetic Fields. Transformation of the Electric Field; 4.2.1 Interaction of Charged Particles with the Electromagnetic Field; 4.2.2 Equations of Motion of a Relativistic Particle; 4.2.3 Transformations of Electromagnetic Field Stress
4.2.4 Dynamics of Orbital and Spin Magnetic Moments
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