## 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 |

Scalar potential | 7 |

Greens theorem | 14 |

Copyright | |

17 other sections not shown

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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