## Classical electrodynamics |

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Page 443

13.4 Density Effect in Collision

relativistic the observed

TJ > 1] for all kinds of particles in all types of media. For ultrarelativistic particles ...

13.4 Density Effect in Collision

**Energy Loss**For particles which are not toorelativistic the observed

**energy loss**is given accurately by (13.44) [or by (13.36) ifTJ > 1] for all kinds of particles in all types of media. For ultrarelativistic particles ...

Page 448

The corresponding relativistic expression without the density effect is, from (13.36

), /JIT\ / — .\2,.. Z r /i m..,A 1 ~l (13.78) We see that the density effect produces a

simplification in that the asymptotic

...

The corresponding relativistic expression without the density effect is, from (13.36

), /JIT\ / — .\2,.. Z r /i m..,A 1 ~l (13.78) We see that the density effect produces a

simplification in that the asymptotic

**energy loss**no longer depends on the details...

Page 449

13.5

incorporated, the upper one being the total

energy ...

13.5

**Energy loss**, including the density effect. The dotted curve is the total**energy****loss**without density correction. The solid curves have the density effectincorporated, the upper one being the total

**energy loss**and the lower one theenergy ...

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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