Electrodynamics of Continuous MediaCovers the theory of electromagnetic fields in matter, and the theory of the macroscopic electric and magnetic properties of matter. There is a considerable amount of new material particularly on the theory of the magnetic properties of matter and the theory of optical phenomena with new chapters on spatial dispersion and non-linear optics. The chapters on ferromagnetism and antiferromagnetism and on magnetohydrodynamics have been substantially enlarged and eight other chapters have additional sections. |
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Page 1
... hence cannot occur in a stationary state (with no external sources of energy). Hence it follows, in turn, that any charges in a conductor must be located on its surface. The presence of charges inside a conductor would necessarily cause ...
... hence cannot occur in a stationary state (with no external sources of energy). Hence it follows, in turn, that any charges in a conductor must be located on its surface. The presence of charges inside a conductor would necessarily cause ...
Page 2
... Hence, since (curl E), = CE /ćy–CE,/ēz = 0, we find that & E,/dz is finite. This means that E, is continuous at the surface, since a discontinuity in E, would mean an infinity of the derivative (E,/ēz. The same applies to E, and since E ...
... Hence, since (curl E), = CE /ćy–CE,/ēz = 0, we find that & E,/dz is finite. This means that E, is continuous at the surface, since a discontinuity in E, would mean an infinity of the derivative (E,/ēz. The same applies to E, and since E ...
Page 5
... Hence it follows that Cab = Cha, (2.8) and similarly CT'ai = CT". The energy & can be written as a quadratic form in either the potentials or the charges: @/ :- # X. Cal b2 b, = } X. C '..e.e. (2.9) a, b a, b This quadratic form must be ...
... Hence it follows that Cab = Cha, (2.8) and similarly CT'ai = CT". The energy & can be written as a quadratic form in either the potentials or the charges: @/ :- # X. Cal b2 b, = } X. C '..e.e. (2.9) a, b a, b This quadratic form must be ...
Page 7
... Hence the charge induced on the inner sphere by the charge e is e = – ea(b–r)/r(b-a). Similarly the charge induced on the outer sphere is e, = — eb(r-a)/r(b-a). PROBLEM 3. Two conductors, with capacitances C1 and C2, are placed at a ...
... Hence the charge induced on the inner sphere by the charge e is e = – ea(b–r)/r(b-a). Similarly the charge induced on the outer sphere is e, = — eb(r-a)/r(b-a). PROBLEM 3. Two conductors, with capacitances C1 and C2, are placed at a ...
Page 11
... Hence, as r" – ro, the function p' tends to infinity as eR/rolór = ero/Rör', corresponding to a charge e' = ero/R = eR/ro. (3.12) Finally, let us examine the behaviour of the function p'(r') near the origin. For r = 0 we have r → 00 ...
... Hence, as r" – ro, the function p' tends to infinity as eR/rolór = ero/Rör', corresponding to a charge e' = ero/R = eR/ro. (3.12) Finally, let us examine the behaviour of the function p'(r') near the origin. For r = 0 we have r → 00 ...
Contents
1 | |
34 | |
CHAPTER III STEADY CURRENT | 86 |
CHAPTER IV STATIC MAGNETIC FIELD | 105 |
CHAPTER V FERROMAGNETISM AND ANTIFERROMAGNETISM | 130 |
CHAPTER VI SUPERCONDUCTIVITY | 180 |
CHAPTER VII QUASISTATIC ELECTROMAGNETIC FIELD | 199 |
CHAPTER VIII MAGNETOHYDRODYNAMICS | 225 |
CHAPTER XI ELECTROMAGNETIC WAVES IN ANISOTROPIC MEDIA | 331 |
CHAPTER XII SPATIAL DISPERSION | 358 |
CHAPTER XIII NONLINEAR OPTICS | 372 |
CHAPTER XIV THE PASSAGE OF FAST PARTICLES THROUGH MATTER | 394 |
CHAPTER XV SCATTERING OF ELECTROMAGNETIC WAVES | 413 |
CHAPTER XVI DIFFRACTION OF XRAYS IN CRYSTALS | 439 |
CURVILINEAR COORDINATES | 452 |
INDEX | 455 |
CHAPTER IX THE ELECTROMAGNETIC WAVE EQUATIONS | 257 |
CHAPTER X THE PROPAGATION OF ELECTROMAGNETIC WAVES | 290 |
Other editions - View all
Electrodynamics of Continuous Media: Volume 8 L D Landau,E.M. Lifshitz,L. P. Pitaevskii Snippet view - 1995 |
Common terms and phrases
According angle anisotropy assumed averaging axes axis becomes body boundary conditions calculation called charge coefficient compared components condition conducting conductor consider constant continuous coordinates corresponding crystal curl denote density depends derivative determined dielectric direction discontinuity distance distribution effect electric field ellipsoid energy equal equation expression external factor ferromagnet fluid flux follows force formula frequency function given gives grad Hence incident increases independent induction integral linear magnetic field mean medium neglected normal obtain occur parallel particle particular permittivity perpendicular phase plane polarization positive potential present PROBLEM propagated properties quantities range regarded region relation respect result rotation satisfied scattering simply solution sphere Substituting surface symmetry taken temperature tensor theory thermodynamic transition uniform unit values variable vector volume wave write zero