## Classical electrodynamics |

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Page 19

The obviouscholce of boundary con3i!ion~oh G(x, x') seems to be = 0 forx'onS

since that makes the second term in the surface integral in (1.42)

desired. But an application of Gauss's theorem to (1.39) shows that dG , , , — da ...

The obviouscholce of boundary con3i!ion~oh G(x, x') seems to be = 0 forx'onS

since that makes the second term in the surface integral in (1.42)

**vanish**, asdesired. But an application of Gauss's theorem to (1.39) shows that dG , , , — da ...

Page 282

If, for example, SL is a plane, perfectly conducting screen with an opening in it

and y> represents the component of electric field parallel to Sl< then we know

that y>

the ...

If, for example, SL is a plane, perfectly conducting screen with an opening in it

and y> represents the component of electric field parallel to Sl< then we know

that y>

**vanishes**everywhere on 5j, except in the opening. But the value of y> inthe ...

Page 284

... (n x E) x V'G - Gn x (V x E) (9.72) While it may not appear very fruitful to

transform the two terms in (9.68) into six terms, we will now show that the surface

integral of the first three terms in (9.72), involving the product (GE),

identically.

... (n x E) x V'G - Gn x (V x E) (9.72) While it may not appear very fruitful to

transform the two terms in (9.68) into six terms, we will now show that the surface

integral of the first three terms in (9.72), involving the product (GE),

**vanishes**identically.

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### Contents

Introduction to Electrostatics | 1 |

Scalar potential | 7 |

Greens theorem | 14 |

Copyright | |

17 other sections not shown

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### Common terms and phrases

4-vector acceleration angular distribution approximation assumed atomic average axis behavior Bessel functions boundary conditions bremsstrahlung calculate Chapter charge density charge q charged particle classical coefficients collisions component conductor Consequently consider coordinates cross section current density cylinder defined delta function dielectric constant diffraction dimensions dipole direction discussed effects electric field electromagnetic fields electron electrostatic emitted energy loss expansion expression factor force equation frequency given Green's function impact parameter incident particle inside integral Laplace's equation limit linear Lorentz invariant Lorentz transformation macroscopic magnetic field magnetic induction magnitude Maxwell's equations meson molecules momentum multipole multipole expansion nonrelativistic obtain orbit oscillations parallel perpendicular photon plane wave plasma point charge polarization power radiated problem quantum quantum-mechanical radiative radius region relativistic result scalar scattering shown in Fig shows solid angle solution spectrum spherical surface theorem transverse vanishes vector potential wave equation wave number wavelength written zero