## Classical electrodynamics |

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Page 377

4-vectors will be denoted by A^ with (/4j, Az, A3) the components of a space

vector A and At = iA0. This correspondence will sometimes be

(11.95) Sometimes the subscript on the 4-vector will be omitted, e.g. f(x) means /(

x,/).

4-vectors will be denoted by A^ with (/4j, Az, A3) the components of a space

vector A and At = iA0. This correspondence will sometimes be

**written**X,, = (A,^0)(11.95) Sometimes the subscript on the 4-vector will be omitted, e.g. f(x) means /(

x,/).

Page 384

The Lorentz force equation can be

representing the rate of change of mechanical momentum of the sources per unit

volume) : f=PE + -J xB (11.126) c where J and p are the current and charge

densities.

The Lorentz force equation can be

**written**as a force per unit volume (representing the rate of change of mechanical momentum of the sources per unit

volume) : f=PE + -J xB (11.126) c where J and p are the current and charge

densities.

Page 395

Since the initial system had zero momentum, the two particles must have equal

and opposite momenta, pj = — p2 = p. From (12.11) the conservation of energy

can be

...

Since the initial system had zero momentum, the two particles must have equal

and opposite momenta, pj = — p2 = p. From (12.11) the conservation of energy

can be

**written**+ V/>2 + m22 = M (12.16) From this equation it is a straightforward...

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### Contents

Introduction to Electrostatics | 1 |

Scalar potential | 7 |

Greens theorem | 14 |

Copyright | |

19 other sections not shown

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### Common terms and phrases

4-vector acceleration angular distribution approximation assumed atomic axis Babinet's principle behavior 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 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 screen shown in Fig shows solid angle solution spectrum spherical surface theorem transverse unit vanishes vector potential wave equation wave number wavelength written zero