## Classical Electrodynamics |

### From inside the book

Results 1-3 of 84

Page 18

In general, W*G(x, x') = —4trö(x — x') (1.39) where G(x, x') = | + F(x, x') (1.40) x – x

"| with the function F

= 0 (1.41) In facing the problem of

In general, W*G(x, x') = —4trö(x — x') (1.39) where G(x, x') = | + F(x, x') (1.40) x – x

"| with the function F

**satisfying**Laplace's equation inside the volume V: V*F(x, x')= 0 (1.41) In facing the problem of

**satisfying**the prescribed boundary ...Page 181

Then let us make a gauge transformation to potentials A", p' and demand that A',

b'

, provided a gauge function A can be found to

Then let us make a gauge transformation to potentials A", p' and demand that A',

b'

**satisfy**the Lorentz condition: r 2 v.A. to -o-v.A to + v A-.. (6.39) c c 0t co 9to Thus, provided a gauge function A can be found to

**satisfy**2 1 93A -(v. lo) (6.40) the ...Page 183

Then p = 0, and A

involved, the Green's function will depend on the variables (x, x', t, t'), and will

...

Then p = 0, and A

**satisfies**the homogeneous wave equation. ... Since the time isinvolved, the Green's function will depend on the variables (x, x', t, t'), and will

**satisfy**the equation, 2 (v2–4;)06, ox,t)---o-x)4-0 (6:3) c Then in infinite space with...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Introduction to Electrostatics | 1 |

References and suggested reading | 23 |

Multipoles Electrostatics of Macroscopic Media | 98 |

Copyright | |

6 other sections not shown

### Other editions - View all

### Common terms and phrases

acceleration angle angular applied approximation assumed atomic average axis becomes boundary conditions calculate called Chapter charge charged particle classical collisions compared component conducting Consequently consider constant coordinates cross section cylinder defined density dependence derivative determine dielectric dimensions dipole direction discussed distance distribution effects electric field electromagnetic electron electrostatic energy equal equation example expansion expression factor force frame frequency function given gives incident inside integral involved light limit Lorentz loss magnetic magnetic field magnetic induction magnitude mass means momentum motion moving multipole normal observation obtain origin parallel particle physical plane plasma polarization position potential problem properties radiation radius region relation relative relativistic result satisfy scalar scattering shown in Fig shows side solution space sphere spherical surface transformation unit vanishes vector velocity volume wave written