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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 - 1 Ym ( 0 ' , ' ) Yım ( 0 , 4 ) 21 + 1 r2 + 1 1 = 0 m = -1 Suppose that we ...
... 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 - 1 Ym ( 0 ' , ' ) Yım ( 0 , 4 ) 21 + 1 r2 + 1 1 = 0 m = -1 Suppose that we ...
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 ' ) + [ f ( x ) + 2 ] G ( x , x ' ) = −4πd ( x − x ' ) ' n ( 3.156 ) ...
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 ' ) + [ f ( x ) + 2 ] G ( x , x ' ) = −4πd ( x − x ' ) ' n ( 3.156 ) ...
Contents
1 | 1 |
BoundaryValue Problems in Electrostatics I | 26 |
Dielectrics | 98 |
Copyright | |
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4-vector Ampère's law angle angular distribution antenna approximation atomic axis B₁ Babinet's principle behavior boundary conditions calculate cavity Chapter charged particle coefficients collisions component conducting conductor consider constant coordinate cross section cylinder d³x dielectric diffraction dimensions dipole direction discussed E₁ electric field electromagnetic fields electrons electrostatic energy loss factor force equation 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 parallel perpendicular phase velocity plane wave plasma polarization power radiated Poynting's vector problem propagation radius region relativistic result S₁ 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