## Classical Electrodynamics |

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Page 61

33 ) , obtained by another

determined by the boundary conditions , is a unique expansion of the potential .

This uniqueness provides a

from a ...

33 ) , obtained by another

**means**. Series ( 3 . 33 ) , with its coefficientsdetermined by the boundary conditions , is a unique expansion of the potential .

This uniqueness provides a

**means**of obtaining the solution of potential problemsfrom a ...

Page 559

104 )

rapidly with increasing multipole order , for a fixed frequency . Consequently in

an atomic or nuclear transition the lowest nonvanishing multipole will generally ...

104 )

**means**that in the long - wavelength limit ( ka < 1 ) the transition rate falls offrapidly with increasing multipole order , for a fixed frequency . Consequently in

an atomic or nuclear transition the lowest nonvanishing multipole will generally ...

Page 587

This

reads + n = 0 where - [ , necp 30 ( } = Jx " , 0 ) + ( , 1 cm + 1 * 2 * 2 = ( 17 . 25 ) { } =

JO VRn + 1 ( n + 1 ) ( n + 2 ) R " - 1 With the continuity equation for charge and ...

This

**means**that we can change the summation indices so that the sum nowreads + n = 0 where - [ , necp 30 ( } = Jx " , 0 ) + ( , 1 cm + 1 * 2 * 2 = ( 17 . 25 ) { } =

JO VRn + 1 ( n + 1 ) ( n + 2 ) R " - 1 With the continuity equation for charge and ...

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### Contents

Introduction to Electrostatics | 1 |

BoundaryValue Problems in Electrostatics I | 26 |

RelativisticParticle Kinematics and Dynamics | 391 |

Copyright | |

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### Common terms and phrases

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