## Classical electrodynamics |

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Page 352

11.2 The Postulates of Special Relativity and the

Lorentz showed that Maxwell's equations in vacuum were invariant under a

transformation of coordinates given by (11.19) below, and now called a Lorentz ...

11.2 The Postulates of Special Relativity and the

**Lorentz Transformation**In 1904Lorentz showed that Maxwell's equations in vacuum were invariant under a

transformation of coordinates given by (11.19) below, and now called a Lorentz ...

Page 357

11.5 With the definition that xM = [(v • x)v]/y2 and XA = x — x,,, equations (1 1.20)

can be combined to yield the general

- 1 V — (11.21) It should be noted that (1 1.21) represents a single Lorentz ...

11.5 With the definition that xM = [(v • x)v]/y2 and XA = x — x,,, equations (1 1.20)

can be combined to yield the general

**Lorentz transformation**:* 1 Ax•v 1 x' = x + t' =- 1 V — (11.21) It should be noted that (1 1.21) represents a single Lorentz ...

Page 372

This is then exactly the requirement that

four-dimensional Euclidean space or, more correctly, ... 1,2, 3,4 (11.70) where the

coefficients a^, are constants characteristic of the particular transformation.

This is then exactly the requirement that

**Lorentz transformations**are rotations in afour-dimensional Euclidean space or, more correctly, ... 1,2, 3,4 (11.70) where the

coefficients a^, are constants characteristic of the particular transformation.

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### Contents

Introduction to Electrostatics | 1 |

Scalar potential | 7 |

Greens theorem | 14 |

Copyright | |

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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