Classical ElectrodynamicsProblems after each chapter |
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Page 16
... boundary conditions . Similarly it is plausible that specification of the electric field ( normal derivative of the ... boundary condition . We now proceed to prove these expectations by means of Green's first identity ( 1.34 ) . = We ...
... boundary conditions . Similarly it is plausible that specification of the electric field ( normal derivative of the ... boundary condition . We now proceed to prove these expectations by means of Green's first identity ( 1.34 ) . = We ...
Page 18
John David Jackson. 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 ...
John David Jackson. 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 ...
Page 19
... boundary conditions we must be more careful . The obvious choice of boundary condition on G ( x , x ' ) seems to be ƏGN Ən ' ( x , x ' ) = 0 for x ' on S since that makes the second term in the surface integral in ( 1.42 ) vanish , as ...
... boundary conditions we must be more careful . The obvious choice of boundary condition on G ( x , x ' ) seems to be ƏGN Ən ' ( x , x ' ) = 0 for x ' on S since that makes the second term in the surface integral in ( 1.42 ) vanish , as ...
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4-vector Ampère's law angle angular distribution approximation atomic axis boundary conditions calculate Chapter charge density charge q charged particle coefficients collisions component conductor consider coordinates cross section current density cylinder d³x delta function dielectric constant diffraction dimensions dipole direction discussed E₁ electric field electromagnetic fields electron electrostatic energy loss expansion expression factor frequency given Green's function impact parameter incident particle inside integral inversion Laplace's equation linear Lorentz transformation macroscopic magnetic field magnetic induction magnetic moment magnitude Maxwell's equations meson modes molecules momentum motion multipole nonrelativistic normal obtain oscillations P₁ parallel plasma point charge Poisson's equation polarization problem radiation radius region relativistic result scalar scalar potential scattering shown in Fig shows solution spherical surface surface-charge density theorem transverse unit V₁ vanishes vector potential velocity volume wave equation wave number wavelength written zero ΦΩ