## Classical electrodynamics |

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Page 21

2JJ Ix-x'l Another

one of the integrals in (1.52) is just the scalar potential (1.17). Therefore W=- Kx)

O(x) d3* (1.53) 2 . Equations (1.51), (1.52), and (1.53) express the electrostatic ...

2JJ Ix-x'l Another

**expression**, equivalent to (1.52), can be obtained by noting thatone of the integrals in (1.52) is just the scalar potential (1.17). Therefore W=- Kx)

O(x) d3* (1.53) 2 . Equations (1.51), (1.52), and (1.53) express the electrostatic ...

Page 295

... superposed. For ka > 1 , the second form in (9.109) can be used to obtain an

asymptotic

Tgive the general behavior as a function of ka, but are not very accurate.

... superposed. For ka > 1 , the second form in (9.109) can be used to obtain an

asymptotic

**expression**, ... These approximate**expressions**(9.109) and (9.110) forTgive the general behavior as a function of ka, but are not very accurate.

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 | |

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