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Page xii
... expansion , 81 . 3.10 Expansion of Green's functions in cylindrical coordinates , 84 . 3.11 Eigenfunction expansions for Green's functions , 87 . 3.12 Mixed boundary conditions , charged conducting disc , 89 . References and suggested ...
... expansion , 81 . 3.10 Expansion of Green's functions in cylindrical coordinates , 84 . 3.11 Eigenfunction expansions for Green's functions , 87 . 3.12 Mixed boundary conditions , charged conducting disc , 89 . References and suggested ...
Page 44
... expansion parameter is ( a2 / x2 ) , rather than x2 , the series takes on the form : 3Va2 Q ( x , 0 , 0 ) = Cos - 2x2 7a2 ( 5 12x2 2 - 3 cos30 10 - 2 cos 0 ) + ] ( 2.33 ) 2 For large values of x / a this expansion converges rapidly and ...
... expansion parameter is ( a2 / x2 ) , rather than x2 , the series takes on the form : 3Va2 Q ( x , 0 , 0 ) = Cos - 2x2 7a2 ( 5 12x2 2 - 3 cos30 10 - 2 cos 0 ) + ] ( 2.33 ) 2 For large values of x / a this expansion converges rapidly and ...
Page 78
... expansion involved by considering spherical coordinates . For the case of no boundary surfaces , except at infinity , we already have the expansion of the Green's function , namely ( 3.70 ) : 1 = 4π | x − x'│ - ΣΣ 1 = 0 m = -1 1 r2 1 ...
... expansion involved by considering spherical coordinates . For the case of no boundary surfaces , except at infinity , we already have the expansion of the Green's function , namely ( 3.70 ) : 1 = 4π | x − x'│ - ΣΣ 1 = 0 m = -1 1 r2 1 ...
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Greens theorem | 14 |
BoundaryValue Problems in Electrostatics I | 26 |
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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