## Classical Electrodynamics |

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Page 18

1.10 Formal Solution of Electrostatic Boundary-Value Problem with

be obtained by means of Green's theorem (1.35) and so-called “

.

1.10 Formal Solution of Electrostatic Boundary-Value Problem with

**Green's****Function**The solution of Poisson's or Laplace's ... on the bounding surface S canbe obtained by means of Green's theorem (1.35) and so-called “

**Green's functions**.

Page 78

Then it is convenient to express the

functions appropriate to the coordinates in question. We first illustrate the type of

expansion involved by considering spherical coordinates. For the case of no ...

Then it is convenient to express the

**Green's function**as a series of products of thefunctions appropriate to the coordinates in question. We first illustrate the type of

expansion involved by considering spherical coordinates. For the case of no ...

Page 87

3.11 Eigenfunction Expansions for

obtaining expansions of

related problem. This approach is intimately connected with the methods of

Sections ...

3.11 Eigenfunction Expansions for

**Green's Functions**Another technique forobtaining expansions of

**Green's functions**is the use of eigenfunctions for somerelated problem. This approach is intimately connected with the methods of

Sections ...

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### Contents

Introduction to Electrostatics | 1 |

BoundaryValue Problems in Electrostatics I | 26 |

References and suggested reading | 50 |

Copyright | |

16 other sections not shown

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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 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 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 shows side solution space sphere spherical surface transformation unit vanishes vector velocity volume wave written