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Page 67
... spherical coordi- nates can be written in terms of spherical harmonics and powers of r in a generalization of ( 3.33 ) : ∞ • ( r , 0 , 6 ) = Σ Σ [ Aimr2 + Bimr ̄ ( l + 1 ) ] Yım ( 0 , 4 ) 1 = 0m = -1 $ ) ( 3.61 ) If the potential is ...
... spherical coordi- nates can be written in terms of spherical harmonics and powers of r in a generalization of ( 3.33 ) : ∞ • ( r , 0 , 6 ) = Σ Σ [ Aimr2 + Bimr ̄ ( l + 1 ) ] Yım ( 0 , 4 ) 1 = 0m = -1 $ ) ( 3.61 ) If the potential is ...
Page 538
... spherical waves . These vector spherical waves are convenient for electromagnetic boundary - value problems possessing spherical symmetry properties and for the discussion of multipole radiation from a localized source distribution . In ...
... spherical waves . These vector spherical waves are convenient for electromagnetic boundary - value problems possessing spherical symmetry properties and for the discussion of multipole radiation from a localized source distribution . In ...
Page 638
... Spherical Bessel functions , see Bessel functions Spherical coordinates , 54 delta function in , 79 Laplace's equation in , 54 Spherical harmonics , Yim ' 64 f . addition theorem for , 67 and angular momentum , 542 completeness relation ...
... Spherical Bessel functions , see Bessel functions Spherical coordinates , 54 delta function in , 79 Laplace's equation in , 54 Spherical harmonics , Yim ' 64 f . addition theorem for , 67 and angular momentum , 542 completeness relation ...
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Common terms and phrases
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