## Classical electrodynamics |

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Page 579

Hence it is worth while discussing them without the added and unnecessary

complication of including reaction

question is that a completely satisfactory treatment of the reactive

radiation does not exist. The difficulties presented by this problem touch one of

the most fundamental aspects of physics, the nature of an elementary particle.

Although partial solutions, workable within limited areas, can be given, the basic

problem remains ...

Hence it is worth while discussing them without the added and unnecessary

complication of including reaction

**effects**. The remaining answer to the firstquestion is that a completely satisfactory treatment of the reactive

**effects**ofradiation does not exist. The difficulties presented by this problem touch one of

the most fundamental aspects of physics, the nature of an elementary particle.

Although partial solutions, workable within limited areas, can be given, the basic

problem remains ...

Page 580

The criterion for the point when radiative

expressed by £rad~£o (17.2) The specification of the relevant energy E0

demands a little care. We will distinguish two apparently different situations, one

in which the particle is initially at rest and is acted on by the applied force only for

the finite interval T, and one where the particle undergoes continual acceleration,

e.g., in quasiperiodic motion at some characteristic frequency <u0. For the

particle at ...

The criterion for the point when radiative

**effects**begin to be important can thus beexpressed by £rad~£o (17.2) The specification of the relevant energy E0

demands a little care. We will distinguish two apparently different situations, one

in which the particle is initially at rest and is acted on by the applied force only for

the finite interval T, and one where the particle undergoes continual acceleration,

e.g., in quasiperiodic motion at some characteristic frequency <u0. For the

particle at ...

Page 581

Since a>0~1 is a time appropriate to the mechanical motion, again we see that, if

the relevant mechanical time interval is long compared to the characteristic time T

(17.3), radiative reaction

of the last two paragraphs show that the reactive

of a charged particle can be expected to be important if the external forces are

such that the motion changes appreciably in times of the order of T or over ...

Since a>0~1 is a time appropriate to the mechanical motion, again we see that, if

the relevant mechanical time interval is long compared to the characteristic time T

(17.3), radiative reaction

**effects**on the motion will be unimportant. The examplesof the last two paragraphs show that the reactive

**effects**of radiation on the motionof a charged particle can be expected to be important if the external forces are

such that the motion changes appreciably in times of the order of T or over ...

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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