## Classical Electrodynamics |

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Page 121

where H is the Hamiltonian. In the simple problem of a harmonically bound

electron with an applied field in the z direction, the Hamiltonian is H = + p" + "

odox” — eEz ...

**space**(p, q**space**) is proportional to the Boltzmann factor exp (-H/kT) (4.79)where H is the Hamiltonian. In the simple problem of a harmonically bound

electron with an applied field in the z direction, the Hamiltonian is H = + p" + "

odox” — eEz ...

Page 129

... and determine all the nonvanishing multipole moments. Write down the

potential at large distances as a finite expansion in Legendre polynomials. (b)

Determine the potential explicitly at any point in

origin r?

... and determine all the nonvanishing multipole moments. Write down the

potential at large distances as a finite expansion in Legendre polynomials. (b)

Determine the potential explicitly at any point in

**space**, and show that near theorigin r?

Page

The other components of f yield similar results, showing that (11.126) can be

written as f = | F.J., k = 1,2,3 (11.128) C The right-hand side of (11.128) is

evidently the

a 4-vector f.

The other components of f yield similar results, showing that (11.126) can be

written as f = | F.J., k = 1,2,3 (11.128) C The right-hand side of (11.128) is

evidently the

**space**components of a 4-vector. Hence f must be the**space**part ofa 4-vector f.

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### Contents

Introduction to Electrostatics | 1 |

Nš 3 | 3 |

Greens theorem | 14 |

Copyright | |

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