## Classical electrodynamics |

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Page 3

In one dimension, the

improper function having the properties : (1) 6(x — a) = 0 for x ^ a, and (2) I 6(x —

a) dx = 1 if the region of integration includes x = a, and is zero otherwise. The

delta ...

In one dimension, the

**delta function**, written 6(x — a), is a mathematicallyimproper function having the properties : (1) 6(x — a) = 0 for x ^ a, and (2) I 6(x —

a) dx = 1 if the region of integration includes x = a, and is zero otherwise. The

delta ...

Page 4

From the definitions above it is evident that, for an arbitrary function /(a.), (3) J/(*)

KX - a) dx =f(d), and (4) where a prime denotes differentiation with respect to the

argument. If the

...

From the definitions above it is evident that, for an arbitrary function /(a.), (3) J/(*)

KX - a) dx =f(d), and (4) where a prime denotes differentiation with respect to the

argument. If the

**delta function**has as argument a function f(x) of the independent...

Page 37

In terms of spherical coordinates centered at the center of inversion the charge

density can be written p(r, 6, #) = 2^6(0 - O,) - d(r - r,) i ri where 6(Q — Q,) is the

angular

...

In terms of spherical coordinates centered at the center of inversion the charge

density can be written p(r, 6, #) = 2^6(0 - O,) - d(r - r,) i ri where 6(Q — Q,) is the

angular

**delta function**whose integral over solid angle gives unity, and d(r — r,) is...

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### Contents

Introduction to Electrostatics | 1 |

Scalar potential | 7 |

Greens theorem | 14 |

Copyright | |

18 other sections not shown

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### Common terms and phrases

4-vector acceleration angular distribution approximation assumed atomic 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 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