## Electromagnetic Phenomena in Matter: Statistical and Quantum ApproachesModern electrodynamics in different media is a wide branch of electrodynamics which combines the exact theory of electromagnetic fields in the presence of electric charges and currents with statistical description of these fields in gases, plasmas, liquids and solids; dielectrics, conductors and superconductors. It is widely used in physics and in other natural sciences (such as astrophysics and geophysics, biophysics, ecology and evolution of terrestrial climate), and in various technological applications (radio electronics, technology of artificial materials, laser-based technological processes, propagation of bunches of charges particles, linear and nonlinear electromagnetic waves, etc.). Electrodynamics of matter is based on the exact fundamental (microscopic) electrodynamics but is supplemented with specific descriptions of electromagnetic fields in various media using the methods of statistical physics, quantum mechanics, physics of condensed matter (including theory of superconductivity), physical kinetics and plasma physics. This book presents in one unique volume a systematic description of the main electrodynamic phenomena in matter: - A large variety of theoretical approaches used in describing various media - Numerous important manifestations of electrodynamics in matter (magnetic materials, superconductivity, magnetic hydrodynamics, holography, radiation in crystals, solitons, etc.) - A description of the applications used in different branches of physics and many other fields of natural sciences - Describes the whole complexity of electrodynamics in matter including material at different levels. - Oriented towards 3-4 year bachelors, masters, and PhD students, as well as lectures, and engineers and scientists working in the field. - The reader will need a basic knowledge of general physics, higher mathematics, classical mechanics and microscopic (fundamental) electrodynamics at the standard university level - All examples and problems are described in detail in the text to help the reader learn how to solve problems - Advanced problems are marked with one asterisk, and the most advanced ones with two asterisks. Some problems are recommended to be solved first, and are are marked by filled dots; they are more general and important or contain results used in other problems. |

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### Contents

where E1 is the amplitude of the reflected wave Eo is the amplitude of | 1 |

2 | 24 |

2 | 34 |

Electrostatics of Conductors and Dielectrics | 37 |

3 | 60 |

2 | 77 |

3 | 84 |

3 | 93 |

QuasiStationary Electromagnetic Field | 193 |

3 | 249 |

4 | 260 |

Maxwell Equations for Alternating and Inhomogeneous Fields | 275 |

5 | 287 |

Propagation of Electromagnetic Waves | 363 |

Coherence and Nonlinear Waves | 463 |

Electromagnetic Oscillations in Finite Bodies | 521 |

Stationary Currents and Magnetic Fields in Media | 115 |

2 | 124 |

4 | 160 |

1 | 189 |

9 | 538 |

Bibliography | 689 |

697 | |

### Other editions - View all

Electromagnetic Phenomena in Matter: Statistical and Quantum Approaches Igor N. Toptygin Limited preview - 2015 |

Electromagnetic Phenomena in Matter: Statistical and Quantum Approaches Igor N. Toptygin Limited preview - 2015 |

### Common terms and phrases

aid of Equation amplitude angle atomic average axis bound charges boundary conditions Calculate capacitance capacitor charge q coefficients components conductor considered const constant contour coordinates coupling equations cross section cylinder dependence determined dielectric permeability dielectric permittivity dipole dispersion distance electric conductivity electric field electromagnetic field electromotive force electrons electrostatic ellipsoid energy equal equilibrium expression external field ferromagnetic Figure Find flux force formula frequency function given homogeneous induction inhomogeneity integral interaction ions isotropic linear macroscopic magnetic field magnetic moment magnetic permeability Maxwell equations medium molecule number density obtain oscillations Oz-axis paramagnetic parameter particles permittivity permittivity 𝜀 perpendicular plane plasma plates point charge polarizability polarization potential propagation quantities quantum region relation results of Problem satisfies ſº solution spherical superconductor surface temperature tensor thermodynamic thermodynamic potential transverse values vector potential velocity volume wave zero 𝛼 𝜅 𝜆 𝜇 𝜏 𝜑 𝜔