## Classical Electrodynamics |

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We will content ourselves with the extreme relativistic

can approximate the Bessel functions by their small argument

in the relativistic

We will content ourselves with the extreme relativistic

**limit**(3 - 1). Furthermore ...can approximate the Bessel functions by their small argument

**limits**(3.103). Thenin the relativistic

**limit**the Fermi expression (13.70) is (#) ~ 2Ge): Re | los !--Page

angles such that 2ka sin-1 (14.112) If the frequency is low enough so that ka o 1,

then the

there will be a region of forward angles less than 0.-4 (14.113) ka where the

qa ...

angles such that 2ka sin-1 (14.112) If the frequency is low enough so that ka o 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 0.-4 (14.113) ka where the

**limit**qa ...

Page

15.5 Radiation cross section So in the complete screening

value is the semiclassical result. The curve marked O (4) “Bethe-Heitler” is the

quantummax (A) mechanical Born approximation. For extremely relativistic

particles ...

15.5 Radiation cross section So in the complete screening

**limit**. The constantvalue is the semiclassical result. The curve marked O (4) “Bethe-Heitler” is the

quantummax (A) mechanical Born approximation. For extremely relativistic

particles ...

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### Contents

Introduction to Electrostatics | 1 |

Nș 3 | 3 |

Greens theorem | 14 |

Copyright | |

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acceleration angle angular applied approximation assumed atomic average axis becomes boundary conditions calculate called Chapter charge classical collisions compared component conducting conductor Consequently consider constant coordinates cross section cylinder defined density depends 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 limit Lorentz loss magnetic magnetic field magnetic induction magnitude mass means momentum motion moving multipole normal observation obtain origin parallel particle physical plane plasma polarization position potential problem properties radiation radius region relation relative result satisfy scalar scattering shows side simple solution space sphere spherical surface transformation unit vanishes vector velocity volume wave written