The Classical Theory of Fields 4th edition by Lifshitz, Landau – Ebook PDF Instant Download/Delivery: 0080250726, 9780080250724
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ISBN 10: 0080250726
ISBN 13: 9780080250724
Author: Lifshitz, Landau
Translated from the 6th Russian edition, this latest edition contains seven new sections with chapters on General Relativity, Gravitational Waves and Relativistic Cosmology, where Professor Lifshitz’s interests lay. The text of the 3rd English edition has been thoroughly revised and additional problems inserted
The Classical Theory of Fields 4th Table of contents:
Chapter 1: THE PRINCIPLE OF RELATIVITY
Publisher Summary
§ 1 Velocity of propagation of interaction
§ 2 Intervals
§ 3 Proper time
§ 4 The Lorentz transformation
§ 5 Transformation of velocities
§ 6 Four-vectors
§ 7 Four-dimensional velocity
Chapter 2: RELATIVISTIC MECHANICS
Publisher Summary
§ 8 The principle of least action
§ 9 Energy and momentum
§ 10 Transformation of distribution functions
§ 11 Decay of particles
§ 12 Invariant cross-section
§ 13 Elastic collisions of particles
§ 14 Angular momentum
Chapter 3: CHARGES IN ELECTROMAGNETIC FIELDS
Publisher Summary
§ 15 Elementary particles in the theory of relativity
§ 16 Four-potential of a field
§ 17 Equations of motion of a charge in a field
§ 18 Gauge invariance
§ 19 Constant electromagnetic field
§ 20 Motion in a constant uniform electric field
§ 21 Motion in a constant uniform magnetic field
§ 22 Motion of a charge in constant uniform electric and magnetic fields
§ 23 The electromagnetic field tensor
§ 24 Lorentz transformation of the field
§ 25 Invariants of the field
Chapter 4: THE ELECTROMAGNETIC FIELD EQUATIONS
Publisher Summary
§ 26 The first pair of Maxwell’s equations
§ 27 The action function of the electromagnetic field
§ 28 The four-dimensional current vector
§ 29 The equation of continuity
§ 30 The second pair of Maxwell equations
§ 31 Energy density and energy flux
§ 32 The energy-momentum tensor
§ 33 Energy-momentum tensor of the electromagnetic field
§ 34 The virial theorem
§ 35 The energy-momentum tensor for macroscopic bodies
Chapter 5: CONSTANT ELECTROMAGNETIC FIELDS
Publisher Summary
§ 36 Coulomb’s law
§ 37 Electrostatic energy of charges
§ 38 The field of a uniformly moving charge
§ 39 Motion in the Coulomb field
§ 40 The dipole moment
§ 41 Multipole moments
§ 42 System of charges in an external field
§ 43 Constant magnetic field
§ 44 Magnetic moments
§ 45 Larmor’s theorem
Chapter 6: ELECTROMAGNETIC WAVES
Publisher Summary
§ 46 The wave equation
§ 47 Plane waves
§ 48 Monochromatic plane waves
§ 49 Spectral resolution
§ 50 Partially polarized light
§ 51 The Fourier resolution of the electrostatic field
§ 52 Characteristic vibrations of the field
Chapter 7: THE PROPAGATION OF LIGHT
Publisher Summary
§ 53 Geometrical optics
§ 54 Intensity
§ 55 The angular eikonal
§ 56 Narrow bundles of rays
§ 57 Image formation with broad bundles of rays
§ 58 The limits of geometrical optics
§ 59 Diffraction
§ 60 Fresnel diffraction
§ 61 Fraunhofer diffraction
Chapter 8: THE FIELD OF MOVING CHARGES
Publisher Summary
§ 62 The retarded potentials
§ 63 The Lienard–Wiechert potentials
§ 64 Spectral resolution of the retarded potentials
§ 65 The Lagrangian to terms of second order
Chapter 9: RADIATION OF ELECTROMAGNETIC WAVES
Publisher Summary
§ 66 The field of a system of charges at large distances
§ 67 Dipole radiation
§ 68 Dipole radiation during collisions
§ 69 Radiation of low frequency in collisions
§ 70 Radiation in the case of Coulomb interaction
§ 71 Quadrupole and magnetic dipole radiation
§ 72 The field of the radiation at near distances
§ 73 Radiation from a rapidly moving charge
§ 74 Synchrotron radiation (magnetic bremsstrahlung)
§ 75 Radiation damping
§ 76 Radiation damping in the relativistic case
§ 77 Spectral resolution of the radiation in the ultrarelativistic case
§ 78 Scattering by free charges
§ 79 Scattering of low-frequency waves
§ 80 Scattering of high-frequency waves
Chapter 10: PARTICLE IN A GRAVITATIONAL FIELD
Publisher Summary
§ 81 Gravitational fields in nonrelativistic mechanics
§ 82 The gravitational field in relativistic mechanics
§ 83 Curvilinear coordinates
§ 84 Distances and time intervals
§ 85 Covariant differentiation
§ 86 The relation of the Christoffel symbols to the metric tensor
§ 87 Motion of a particle in a gravitational field
§ 88 The constant gravitational field
§ 89 Rotation
§ 90 The equations of electrodynamics in the presence of a gravitational field
Chapter 11: THE GRAVITATIONAL FIELD EQUATIONS
Publisher Summary
§ 91 The curvature tensor
§ 92 Properties of the curvature tensor
§ 93 The action function for the gravitational field
§ 94 The energy-momentum tensor
§ 95 The Einstein equations
§ 96 The energy-momentum pseudotensor of the gravitational field
§ 97 The synchronous reference system
§ 98 The tetrad representation of the Einstein equations
Chapter 12: THE FIELD OF GRAVITATING BODIES
Publisher Summary
§ 99 Newton’s law
§ 100 The centrally symmetric gravitational field
§ 101 Motion in a centrally symmetric gravitational field
§ 102 Gravitational collapse of a spherical body
§ 103 Gravitational collapse of a dustlike sphere
§ 104 Gravitational collapse of nonspherical and rotating bodies
§ 105 Gravitational fields at large distances from bodies
§ 106 The equations of motion of a system of bodies in the second approximation
Chapter 13: GRAVITATIONAL WAVES
Publisher Summary
§ 107 Weak gravitational waves
PROBLEMS
§ 108 Gravitational waves in curved space-time
§ 109 Strong gravitational waves
PROBLEM
§ 110 Radiation of gravitational waves
Chapter 14: RELATIVISTIC COSMOLOGY
Publisher Summary
§ 111 Isotropic space
§ 112 The closed isotropic model
§ 113 The open isotropic model
§ 114 The red shift
§ 115 Gravitational stability of an isotropic universe
§ 116 Homogeneous spaces
§ 117 The flat anisotropic model
§ 118 Oscillating regime of approach to a singular point
§ 119 The time singularity in the general cosmological solution of the Einstein equations
INDEX
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