## Classical electrodynamics |

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Page 16

This is called a Dirichlet problem, or Dirichlet

plausible that specification of the electric field (normal derivative of the potential)

everywhere on the surface (corresponding to a given surface-charge density) ...

This is called a Dirichlet problem, or Dirichlet

**boundary conditions**. Similarly it isplausible that specification of the electric field (normal derivative of the potential)

everywhere on the surface (corresponding to a given surface-charge density) ...

Page 18

1.10 Formal Solution of Electrostatic Boundary- Value Problem with Green's

Function The solution of Poisson's or Laplace's equation in a finite volume V with

either Dirichlet or Neumann

be ...

1.10 Formal Solution of Electrostatic Boundary- Value Problem with Green's

Function The solution of Poisson's or Laplace's equation in a finite volume V with

either Dirichlet or Neumann

**boundary conditions**on the bounding surface S canbe ...

Page 19

The freedom available in the definition of G (1.40) means that we can make the

surface integral depend only on the chosen type of

for Dirichlet

...

The freedom available in the definition of G (1.40) means that we can make the

surface integral depend only on the chosen type of

**boundary conditions**. Thus,for Dirichlet

**boundary conditions**we demand : GD(x, x') = 0 for x' on S (1.43) Then...

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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