## Classical electrodynamics |

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Page 447

The detailed calculations for all energies with some explicit expression such as (

13.74) for e(w) are quite complicated and not particularly informative. We will

content ourselves with the extreme relativistic

...

The detailed calculations for all energies with some explicit expression such as (

13.74) for e(w) are quite complicated and not particularly informative. We will

content ourselves with the extreme relativistic

**limit**(ft ~ 1). Furthermore, since the...

Page 493

angles such that 2fcasin-~l (14.112) If the frequency is low enough so that ka < 1,

then the

there will be a region of forward angles less than 0c~f (14.113) ka where the

...

angles such that 2fcasin-~l (14.112) If the frequency is low enough so that ka < 1,

then the

**limit**qa < 1 will apply at all angles. But for frequencies where ka > 1 ,there will be a region of forward angles less than 0c~f (14.113) ka where the

**limit**...

Page 518

15.5 Radiation cross section in the complete screening

is the semi- classical result. The curve marked "Bethe-Heitler" is the quantum-

mechanical Born approximation. For extremely relativistic particles the screening

...

15.5 Radiation cross section in the complete screening

**limit**. The constant valueis the semi- classical result. The curve marked "Bethe-Heitler" is the quantum-

mechanical Born approximation. For extremely relativistic particles the screening

...

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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