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... 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 : Þ ( x , 0 , 0 ) = 3Va2 2x2 7a2 3 cos 0 -74 ( cos 0-2 cos 0 ) + ] 12.22 ( 2.33 ) For large values of x / a this expansion converges rapidly and so is a ...
... expansion parameter is ( a2 / x2 ) , rather than a2 , the series takes on the form : Þ ( x , 0 , 0 ) = 3Va2 2x2 7a2 3 cos 0 -74 ( cos 0-2 cos 0 ) + ] 12.22 ( 2.33 ) For large values of x / a this expansion converges rapidly and so is a ...
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 ) : | x 1 -- x ' | ΑΣΣ = 4π 1 = 0 m = -l 1 Ytm ...
... 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 ) : | x 1 -- x ' | ΑΣΣ = 4π 1 = 0 m = -l 1 Ytm ...
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BoundaryValue Problems in Electrostatics I | 26 |
Dielectrics | 98 |
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4-vector acceleration Ampère's law angular distribution approximation atomic axis behavior boundary conditions bremsstrahlung calculation Chapter charge q charged particle Cherenkov radiation classical coefficients collisions component conducting conductor consider constant coordinate cross section cylinder d³x dielectric diffraction dipole direction discussed E₁ electric field electromagnetic fields electron electrostatic emitted energy loss energy transfer equation of motion factor force equation frame frequency given Green's function impact parameter incident particle integral Lagrangian limit Lorentz force Lorentz invariant Lorentz transformation m₁ magnetic field magnetic induction magnitude Maxwell's equations meson modes momentum multipole nonrelativistic obtain orbit oscillations P₁ P₂ parallel perpendicular photon plane plasma polarization power radiated problem quantum quantum-mechanical radius region relativistic result scalar scattering screen shown in Fig shows sin² solid angle solution spectrum sphere spherical surface transverse V₁ vanishes vector potential wave number wavelength ΦΩ