## Classical electrodynamics |

### From inside the book

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Page 16

We want to show the uniqueness of the

477/3, inside a volume V subject to either Dirichlet or Neumann boundary

conditions on the closed bounding surface S. We suppose, to the contrary, that

there ...

We want to show the uniqueness of the

**solution**of Poisson's equation, V2O = —477/3, inside a volume V subject to either Dirichlet or Neumann boundary

conditions on the closed bounding surface S. We suppose, to the contrary, that

there ...

Page 17

The result of these investigations on which boundary conditions are appropriate

is summarized in the table below (based on one given in Morse and Feshbach),

where different types Type of Equation A stable

The result of these investigations on which boundary conditions are appropriate

is summarized in the table below (based on one given in Morse and Feshbach),

where different types Type of Equation A stable

**solution**is one for which small ...Page 81

Whereas the expansion for a single sphere is most easily obtained from the

image

obtain by the method of images, since it involves an infinite set of images.

Whereas the expansion for a single sphere is most easily obtained from the

image

**solution**, the general result (3.125) for a spherical shell is rather difficult toobtain by the method of images, since it involves an infinite set of images.

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### Contents

Introduction to Electrostatics | 1 |

Scalar potential | 7 |

Greens theorem | 14 |

Copyright | |

19 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 inversion 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