## Classical electrodynamics |

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Page 21

For a continuous charge distribution [or, in general, using the Dirac delta

functions (1.6)] the potential energy takes the form: 2 J |x - x'| Another

equivalent to (1.52), can be obtained by noting that one of the integrals in (1.52)

is just ...

For a continuous charge distribution [or, in general, using the Dirac delta

functions (1.6)] the potential energy takes the form: 2 J |x - x'| Another

**expression**,equivalent to (1.52), can be obtained by noting that one of the integrals in (1.52)

is just ...

Page 446

The Fermi

energy loss, such as (13.35). But under conditions where polarization effects are

unimportant it yields the same results as before. For example, for nonrelativistic ...

The Fermi

**expression**(13.70) bears little resemblance to our previous results forenergy loss, such as (13.35). But under conditions where polarization effects are

unimportant it yields the same results as before. For example, for nonrelativistic ...

Page 447

where we have used the dipole moment

second term is small, the imaginary part of l/e(w) can be readily calculated and

substituted into (13.70). Then the integral over da> can be performed in the same

...

where we have used the dipole moment

**expression**(13.19). Assuming that thesecond term is small, the imaginary part of l/e(w) can be readily calculated and

substituted into (13.70). Then the integral over da> can be performed in the same

...

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### Contents

Introduction to Electrostatics | 1 |

Scalar potential | 7 |

Greens theorem | 14 |

Copyright | |

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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