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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 | x − x'│ - ΣΣ 1 = 0 m = -1 1 r2 1 Yim ( 0 ' , ' ) Yım ( 0 , 4 ) ‚21 + 1 ...
... 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 r2 1 Yim ( 0 ' , ' ) Yım ( 0 , 4 ) ‚21 + 1 ...
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 ′ ) ( 3.156 ) where 2 ...
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 ′ ) ( 3.156 ) where 2 ...
Contents
1 | 1 |
Greens theorem | 14 |
BoundaryValue Problems in Electrostatics I | 26 |
Copyright | |
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4-vector acceleration Ampère's law angular distribution antenna approximation atomic axis B₁ Babinet's principle behavior boundary conditions calculate Chapter charge q charged particle classical coefficients collisions component conducting conductor constant coordinate cross section cylinder d³x dielectric diffraction dimensions dipole direction discussed E₁ effects electric field electromagnetic fields electrons electrostatic energy loss energy transfer factor force equation formula frequency given Green's function impact parameter incident particle integral Kirchhoff Lorentz invariant Lorentz transformation magnetic field magnetic induction magnitude Maxwell's equations meson modes momentum motion multipole nonrelativistic obtain oscillations P₁ parallel perpendicular plane wave plasma plasma oscillations polarization power radiated Poynting's vector problem propagation quantum quantum-mechanical radius region relativistic result scalar scattering screen shown in Fig shows sin² solid angle solution sphere spherical surface transverse unit V₁ vanishes vector potential velocity wave number wavelength ΦΩ