## Classical electrodynamics |

### From inside the book

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Page 151

The total

x'/ cJ |x — x'l We use a small a for the microscopic

used e for the microscopic electric field in Chapter 4. For the atomic contribution ...

The total

**vector potential**due to all currents is a_lfJ(x')dV | lfJa(x')dV (5?4) cJ |x —x'/ cJ |x — x'l We use a small a for the microscopic

**vector potential**, just as weused e for the microscopic electric field in Chapter 4. For the atomic contribution ...

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 dipoie form (5.75), ...

Page 270

Then the

inverse distance can be expanded using (3.70), with the result, Hm A(x) = l- I -*=-

^^ f J(x>" y,*m(0', f ) dV (9.6) fcr- 0 C l,m 21+1 r J This shows that the near fields

are ...

Then the

**vector potential**is of the form already considered in Chapter 5. Theinverse distance can be expanded using (3.70), with the result, Hm A(x) = l- I -*=-

^^ f J(x>" y,*m(0', f ) dV (9.6) fcr- 0 C l,m 21+1 r J This shows that the near fields

are ...

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### Contents

Introduction to Electrostatics | 1 |

Scalar potential | 7 |

Greens theorem | 14 |

Copyright | |

19 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 inversion 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