## Classical Electrodynamics |

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Page 96

2 , using the appropriate Green ' s function

answer

mlkp ' ) dk ( 6 )

2 , using the appropriate Green ' s function

**obtained**in the text , and verify that theanswer

**obtained**in this way agrees ... 12 ( a ) Verify that - 8lp - p ) = 1 kJm ( kp ) Jmlkp ' ) dk ( 6 )

**Obtain**the following expansion : m ( bRoxy = 2 dk eim ( 6 – ' !Page 403

4 Laboratory angle 0 , of particle 3 versus center of momentum angle for a < 1

and a > 1 . it is a straightforward , although tedious , matter to

E + məsme + m ; * + mı ? 7 m ; ? – mi ? ) lup cos 0 , [ ( m2€ + m ; + m , mo ? – m ; )

...

4 Laboratory angle 0 , of particle 3 versus center of momentum angle for a < 1

and a > 1 . it is a straightforward , although tedious , matter to

**obtain**the result : (E + məsme + m ; * + mı ? 7 m ; ? – mi ? ) lup cos 0 , [ ( m2€ + m ; + m , mo ? – m ; )

...

Page 498

Then we

delta ... To

a slab of dielectric in a time interval 27 . Then the infinite integral in ( 14 . 127 ) is

...

Then we

**obtain**dI ( W ) e 12 I 2TT J - ( 14 . 127 ) dS2 C3 The integral is a Diracdelta ... To

**obtain**a meaningful result we assume that the particle passes througha slab of dielectric in a time interval 27 . Then the infinite integral in ( 14 . 127 ) is

...

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### Contents

Introduction to Electrostatics | 1 |

BoundaryValue Problems in Electrostatics I | 26 |

RelativisticParticle Kinematics and Dynamics | 391 |

Copyright | |

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acceleration angle angular applied approximation assumed atomic average axis becomes boundary conditions calculate called Chapter charge charged particle classical collisions compared component conducting Consequently consider constant coordinates cross section cylinder defined density dependence derivative determine dielectric dimensions dipole direction discussed distance distribution effects electric field electromagnetic electron electrostatic energy equal equation example expansion expression factor force frame frequency function given gives incident inside integral involved light limit Lorentz loss magnetic magnetic field magnetic induction magnitude mass means modes momentum motion moving multipole normal observation obtain origin parallel particle physical plane plasma polarization position potential problem properties radiation radius region relation relative relativistic result satisfy scalar scattering shown in Fig shows side solution space sphere spherical surface transformation unit vanishes vector velocity volume wave written