Classical Electrodynamics |
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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 78
... Green's function as a series of products of the functions appropriate to the coordi- nates in question . We first ... Green's function , namely ( 3.70 ) : 1 = 4π | x − x'❘ - ΣΣ 1 = 0 m = -1 1 ľk 21 + 1 r1 + 1 Yim ( 0 ' , ' ) Yım ( 0 ...
... Green's function as a series of products of the functions appropriate to the coordi- nates in question . We first ... Green's function , namely ( 3.70 ) : 1 = 4π | x − x'❘ - ΣΣ 1 = 0 m = -1 1 ľk 21 + 1 r1 + 1 Yim ( 0 ' , ' ) Yım ( 0 ...
Page 87
John David Jackson. 3.11 Eigenfunction Expansions for Green's Functions Another technique for obtaining expansions of ... function for the equation : V ̧2G ( x , x ' ) + [ ƒ ( x ) + 2 ] G ( x , x ' ) = −4πd ( x − x ' ) n ( 3.156 ) where ...
John David Jackson. 3.11 Eigenfunction Expansions for Green's Functions Another technique for obtaining expansions of ... function for the equation : V ̧2G ( x , x ' ) + [ ƒ ( x ) + 2 ] G ( x , x ' ) = −4πd ( x − x ' ) n ( 3.156 ) where ...
Common terms and phrases
4-vector acceleration Ampère's law angle angular distribution antenna approximation atomic axis Babinet's principle behavior boundary conditions calculate cavity Chapter charge q charged particle coefficients collisions component conducting conductor constant coordinate cross section cylinder d³x dielectric dielectric constant diffraction dipole direction discussed E₁ electric field electromagnetic fields electron electrostatic energy loss factor force equation frame frequency given Green's function impact parameter incident particle integral Kirchhoff Lagrangian Laplace's equation Lorentz force Lorentz invariant Lorentz transformation m₁ magnetic field magnetic induction magnitude Maxwell's equations meson modes momentum multipole nonrelativistic obtain oscillations P₁ P₂ parallel perpendicular phase velocity plane wave plasma polarization power radiated problem propagation radius region relativistic result scalar scattering screen shown in Fig shows sin² solution sphere spherical surface transverse unit V₁ vanishes vector potential velocity wave guide wave number wavelength ΦΩ