TY - BOOK AU - Landau,L.D. AU - Lifshitz,E.M. AU - Hamermesh,Morton TI - The Classical theory of fields T2 - Course Of Theoretical Physics SN - 0750627689 AV - QC665.E4 L3713 2003 PY - 2003/// CY - Amsterdam PB - Butterworth/Heinemann KW - Electromagnetic fields KW - Field theory (Physics) N1 - Includes index; Excerpts from the Prefaces to the First and Second Editions; Preface to the Fourth English Edition; Editor's Preface to the Seventh Russian Edition; Notation; The Principle of Relativity; Velocity of propagation of interaction; Intervals; Proper time; The Lorentz transformation; Transformation of velocities; Four-vectors; Four-dimensional velocity; Relativistic Mechanics; The principle of least action; Energy and momentum; Transformation of distribution functions; Decay of particles; Invariant cross-section; Elastic collisions of particles; Angular momentum; Charges in Electromagnetic Fields; Elementary particles in the theory of relativity; Four-potential of a field; Equations of motion of a charge in a field; Gauge invariance; Constant electromagnetic field; Motion in a constant uniform electric field; Motion in a constant uniform magnetic field; Motion of a charge in constant uniform electric and magnetic fields; The electromagnetic field tensor; Lorentz transformation of the field; Invariants of the field; The Electromagnetic Field Equations; The first pair of Maxwell's equations; The action function of the electromagnetic field; The four-dimensional current vector; The equation of continuity; The second pair of Maxwell equations; Energy density and energy flux; The energy-momentum tensor; Energy-momentum tensor of the electromagnetic field; The virial theorem; The energy-momentum tensor for macroscopic bodies; Constant Electromagnetic Fields; Coulomb's law; Electrostatic energy of charges; The field of a uniformly moving charge; Motion in the Coulomb field; The dipole moment; Multipole moments; System of charges in an external field; Constant magnetic field; Magnetic moments; Larmor's theorem; Electromagnetic Waves; The wave equation; Plane waves; Monochromatic plane waves; Spectral resolution; Partially polarized light; The Fourier resolution of the electrostatic field; Characteristic vibrations of the field; The Propagation of Light; Geometrical optics; Intensity; The angular eikonal; Narrow bundles of rays; Image formation with broad bundles of rays; The limits of geometrical optics; Diffraction; Fresnel diffraction; Fraunhofer diffraction; The Field of Moving Charges; The retarded potentials; The Lienard-Wiechert potentials; Spectral resolution of the retarded potentials; The Lagrangian to terms of second order; Radiation of Electromagnetic Waves; The field of a system of charges at large distances; Dipole radiation; Dipole radiation during collisions; Radiation of low frequency in collisions; Radiation in the case of Coulomb interaction; Quadrupole and magnetic dipole radiation; The field of the radiation at near distances; Radiation from a rapidly moving charge; Synchrotron radiation (magnetic bremsstrahlung); Radiation damping; Radiation damping in the relativistic case; Spectral resolution of the radiation in the ultrarelativistic case; Scattering by free charges; Scattering of low-frequency waves; Scattering of high-frequency waves; Particle in a Gravitational Field; Gravitational fields in nonrelativistic mechanics; The gravitational field in relativistic mechanics; Curvilinear coordinates; Distances and time intervals; Covariant differentiation; The relation of the Christoffel symbols to the metric tensor; Motion of a particle in a gravitational field; The constant gravitational field; Rotation; The equations of electrodynamics in the presence of a gravitational field; The Gravitational Field Equations; The curvature tensor; Properties of the curvature tensor; The action function for the gravitational field; The energy-momentum tensor; The Einstein equations; The energy-momentum pseudotensor of the gravitational field; The synchronous reference system; The tetrad representation of the Einstein equations; The Field of Gravitating Bodies; Newton's law; The centrally symmetric gravitational field; Motion in a centrally symmetric gravitational field; Gravitational collapse of a spherical body; Gravitational collapse of a dustlike sphere; Gravitational collapse of nonspherical and rotating bodies; Gravitational fields at large distances from bodies; The equations of motion of a system of bodies in the second approximation; Gravitational Waves; Weak gravitational waves; Gravitational waves in curved space-time; Strong gravitational waves; Radiation of gravitational waves; Relativistic Cosmology; Isotropic space; The closed isotropic model; The open isotropic model; The red shift; Gravitational stability of an isotropic universe; Homogeneous spaces; The flat anisotropic model; Oscillating regime of approach to a singular point; The time singularity in the general cosmological solution of the Einstein equationsIndex ER -