## 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; (b) atomic-current density Ja,

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; (b) atomic-current density Ja,

representing the circulating currents inside atoms or molecules. The total

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

Combining the first term in (5.79) with the conduction-current term in (5.76), we

can write the

magnetization contributes to the

Combining the first term in (5.79) with the conduction-current term in (5.76), we

can write the

**vector potential**as = 1 ri(x') + cV x M(x')^, cJ |x — x'l We see that themagnetization contributes to the

**vector potential**as an effective current density ...Page 270

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

(x') , e ' ' A d3x' (9.7) cr J In the approximation that r > d and d < A it is legitimate to

expand the exponential and its denominator as a power series in (n • x').

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

**vector potential**is A(x) = — f J(x') , e ' ' A d3x' (9.7) cr J In the approximation that r > d and d < A it is legitimate to

expand the exponential and its denominator as a power series in (n • x').

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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