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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 a2 , the series takes on the form : ( x , 0 , 0 ) = 3Va2 2x2 cos 0 -3 cos 0 ) + ] ( 2.33 ) -74 ( cos2 6-2 7a2 ( 5 12x2 2 For large values of x / a this expansion converges rapidly and so ...
... expansion parameter is ( a2 / x2 ) , rather than a2 , the series takes on the form : ( x , 0 , 0 ) = 3Va2 2x2 cos 0 -3 cos 0 ) + ] ( 2.33 ) -74 ( cos2 6-2 7a2 ( 5 12x2 2 For large values of x / a this expansion converges rapidly and so ...
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 ' | 1 = 0 m = -1 1 rk 21 + 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 ' | 1 = 0 m = -1 1 rk 21 + 1 ...
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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