Classical electrodynamics |
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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 boundary conditions on the bounding surface S can
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 can
be ...
Page 78
Then it is convenient to express the Green's function as a series of products of 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 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 ...
Page 87
3.11 Eigenfunction Expansions for Green's Functions Another technique for
obtaining expansions of Green's functions is the use of eigenfunctions for some
related problem. This approach is intimately connected with the methods of
Sections ...
3.11 Eigenfunction Expansions for Green's Functions Another technique for
obtaining expansions of Green's functions is the use of eigenfunctions for some
related 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 | |
18 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 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