## Classical electrodynamics |

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Page 367

K" (11.49) Now it is generally true that two successive Lorentz transformations

are equivalent to a single Lorentz transformation plus a rotation. Using the

general formula (11.21) twice, it is a straightforward matter to

variables ...

K" (11.49) Now it is generally true that two successive Lorentz transformations

are equivalent to a single Lorentz transformation plus a rotation. Using the

general formula (11.21) twice, it is a straightforward matter to

**show**that the timevariables ...

Page 373

Figure 11.11

the point P relative to the two sets of axes are related by x*' = cos y x3 + sin xt' =

—sin if> x3 + cos y> a;4 (11.77) Comparison of the coefficients in (11.77) with the

...

Figure 11.11

**shows**a rotation of the axes through an angle y. The coordinates ofthe point P relative to the two sets of axes are related by x*' = cos y x3 + sin xt' =

—sin if> x3 + cos y> a;4 (11.77) Comparison of the coefficients in (11.77) with the

...

Page 501

Why? Make quantitative statements if you can. 14.5 As in Problem 14.2a a

charge e moves in simple harmonic motion along the z axis, z(t') = a cos («V')- (a)

sin2 ...

Why? Make quantitative statements if you can. 14.5 As in Problem 14.2a a

charge e moves in simple harmonic motion along the z axis, z(t') = a cos («V')- (a)

**Show**that the instantaneous power radiated per unit solid angle is: dP(t') _ e^cpsin2 ...

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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