## Classical electrodynamics |

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Page 151

The total current density can be divided into : (a) conduction-current density J,

representing the actual transport of charge ; (ti) atomic-current density J0,

representing the circulating currents inside atoms or molecules. The total

The total current density can be divided into : (a) conduction-current density J,

representing the actual transport of charge ; (ti) atomic-current density J0,

representing the circulating currents inside atoms or molecules. The total

**vector****potential**...Page 152

That is the use of the dipole

near the point x. If a molecule lies within a sphere of radius a few molecular

diameters d of x, its

5.75), ...

That is the use of the dipole

**vector potential**(5.75) for all molecules, even thosenear the point x. If a molecule lies within a sphere of radius a few molecular

diameters d of x, its

**vector potential**will differ appreciably from the dipole form (5.75), ...

Page 270

Here n is a unit vector in the direction of x. Then the

A(x) = — J(x') — e- d3x' (9.7) cr J I, n-x\ In the approximation that r > d and d < A it

is legitimate to expand the exponential and its denominator as a power series ...

Here n is a unit vector in the direction of x. Then the

**vector potential**is ikr r p-'to-xA(x) = — J(x') — e- d3x' (9.7) cr J I, n-x\ In the approximation that r > d and d < A it

is legitimate to expand the exponential and its denominator as a power series ...

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### Contents

Introduction to Electrostatics | 1 |

Scalar potential | 7 |

Greens theorem | 14 |

Copyright | |

18 other sections not shown

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### Common terms and phrases

4-vector acceleration angular distribution approximation assumed atomic 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 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