## Classical Electrodynamics |

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Page 369

Consequently under Galilean transformations the infinitesimal elements of

distance and time are separately

11.59) For

coordinates are ...

Consequently under Galilean transformations the infinitesimal elements of

distance and time are separately

**invariant**. Thus ds* = dxz + dy* + dz* = ds'z (11.59) For

**Lorentz**transformations, on the other hand, the time and spacecoordinates are ...

Page 378

That J ' p is a legitimate 4-vector can be established from the experimentally

known invariance of electric charge. This invariance implies that (p dx^ dx2 dx^)

is a

follows ...

That J ' p is a legitimate 4-vector can be established from the experimentally

known invariance of electric charge. This invariance implies that (p dx^ dx2 dx^)

is a

**Lorentz invariant**. Since i d*x = (dx1 dx2 dx3 dx^ is a**Lorentz invariant**, itfollows ...

Page 632

Instabilities of a pinched plasma column, 326 Internal electric field at molecule,

116

lacobian, in

functions, ...

Instabilities of a pinched plasma column, 326 Internal electric field at molecule,

116

**Invariance**, of length-time element in ... Ives-Stilwell experiment, 364lacobian, in

**Lorentz**transformation of coordinates, 376 in transforming deltafunctions, ...

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### Contents

Introduction to Electrostatics | 1 |

BoundaryValue Problems in Electrostatics I | 26 |

RelativisticParticle Kinematics and Dynamics | 391 |

Copyright | |

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### 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 modes 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