## Classical electrodynamics |

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Page 72

where Q,(x) is any one of the cylinder functions of order v. These may be verified

directly from the series representation (3.82). For reference purposes, the limiting

forms of the various kinds of

where Q,(x) is any one of the cylinder functions of order v. These may be verified

directly from the series representation (3.82). For reference purposes, the limiting

forms of the various kinds of

**Bessel functions**will be given for small and large ...Page 74

Expansion (3.96) and (3.97) is the conventional Fourier-

particularly appropriate to

Dirichlet boundary conditions on a cylinder; see the following section). But it will

be ...

Expansion (3.96) and (3.97) is the conventional Fourier-

**Bessel**series and isparticularly appropriate to

**functions**which vanish at p = a (e.g., homogeneousDirichlet boundary conditions on a cylinder; see the following section). But it will

be ...

Page 634

Orthogonal functions,

equation, 12 equivalent integral equation, 15. Multipole, electrostatic, 98

electrostatic, expansion of interaction energy in, 101 electrostatic, expansion of

potential in, ...

Orthogonal functions,

**Bessel functions**, 73 Poincare stresses, 592 Poisson'sequation, 12 equivalent integral equation, 15. Multipole, electrostatic, 98

electrostatic, expansion of interaction energy in, 101 electrostatic, expansion of

potential in, ...

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### Contents

Introduction to Electrostatics | 1 |

Scalar potential | 7 |

Greens theorem | 14 |

Copyright | |

17 other sections not shown

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### Common terms and phrases

4-vector acceleration angular distribution approximation assumed atomic average axis behavior Bessel functions boundary conditions bremsstrahlung calculate Chapter charge density charge q charged particle classical coefficients collisions component conductor Consequently consider coordinates cross section current density cylinder defined delta function dielectric constant diffraction dimensions dipole direction discussed effects electric field electromagnetic fields electron electrostatic emitted energy loss expansion expression factor force equation frequency given Green's function impact parameter incident particle inside integral Laplace's equation limit linear Lorentz invariant Lorentz transformation macroscopic magnetic field magnetic induction magnitude Maxwell's equations meson molecules momentum multipole multipole expansion nonrelativistic obtain orbit oscillations parallel perpendicular photon plane wave plasma point charge polarization power radiated problem quantum quantum-mechanical radiative radius region relativistic result scalar scattering shown in Fig shows solid angle solution spectrum spherical surface theorem transverse vanishes vector potential wave equation wave number wavelength written zero