## Classical electrodynamicsThis edition refines and improves the first edition. It treats the present experimental limits on the mass of photon and the status of linear superposition, and introduces many other innovations. |

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Page 628

In this statistical sense the

the classical process with a continuum of possible energy transfers can be

reconciled. The detailed numerical agreement for the averages (but not for the

individual amounts) stems from the

oscillator strengths /j and resonant frequencies o>j. The other important

modification arises from the wave nature of the particles. The uncertainty

principle sets certain ...

In this statistical sense the

**quantum**mechanism for discrete energy transfers andthe classical process with a continuum of possible energy transfers can be

reconciled. The detailed numerical agreement for the averages (but not for the

individual amounts) stems from the

**quantum**-mechanical definitions of theoscillator strengths /j and resonant frequencies o>j. The other important

**quantum**modification arises from the wave nature of the particles. The uncertainty

principle sets certain ...

Page 645

The minimum angle dmia below which the cross section departs appreciably

from the simple result (13.92) can be determined either classically or

mechanically. As with bmia in the energy-loss calculations, the larger of the two

angles is the correct one to employ. Classically Bmia can be estimated by putting

b = a in (13.89). This gives eSn=^^ (13.97) pva

size of the scatterer implies that the approximately classical trajectory must be

localized ...

The minimum angle dmia below which the cross section departs appreciably

from the simple result (13.92) can be determined either classically or

**quantum**mechanically. As with bmia in the energy-loss calculations, the larger of the two

angles is the correct one to employ. Classically Bmia can be estimated by putting

b = a in (13.89). This gives eSn=^^ (13.97) pva

**Quantum**mechanically, the finitesize of the scatterer implies that the approximately classical trajectory must be

localized ...

Page 751

momentum to the square of the energy to have the value, M** _(M2+My2+M2\_l(l

+l) -jjr- —j- (16.70) But from (16.60) and (16.65M16.67) the classical result for a

pure (I, m) multipole is U2 U2 w2 (lbJ1) The reason for this difference lies in the

component of angular momentum of a single photon is known precisely, the

uncertainty principle requires that the other components be uncertain, with mean

square values ...

momentum to the square of the energy to have the value, M** _(M2+My2+M2\_l(l

+l) -jjr- —j- (16.70) But from (16.60) and (16.65M16.67) the classical result for a

pure (I, m) multipole is U2 U2 w2 (lbJ1) The reason for this difference lies in the

**quantum**nature of the electromagnetic fields for a single photon. If the zcomponent of angular momentum of a single photon is known precisely, the

uncertainty principle requires that the other components be uncertain, with mean

square values ...

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### Contents

Introduction and Survey | 1 |

Introduction to Electrostatics | 27 |

BoundaryValue Problems | 54 |

Copyright | |

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### Common terms and phrases

4-vector amplitude angle angular distribution angular momentum aperture approximation assumed atomic axis behavior Bessel functions boundary conditions bremsstrahlung calculation Chapter charge density charge q charged particle classical coefficients collision components conductor consider coordinates cross section current density cylinder defined dielectric constant differential diffraction dimensions dipole direction discussed effects electric and magnetic electric field electromagnetic fields electrons electrostatic energy loss expansion expression factor finite force frequency given Green function incident integral Lagrangian limit linear Lorentz transformation macroscopic magnetic field magnetic induction magnitude Maxwell equations medium modes molecules multipole multipole expansion multipole moments nonrelativistic normal obtain oscillations parallel parameter photon Phys plane wave plasma point charge polarization problem propagation quantum quantum-mechanical radius region relativistic resonant rest frame result scalar scalar potential scattering shown in Fig solution spectrum sphere spherical surface tensor theorem transverse unit vanishes vector potential velocity wave guide wave number wavelength written zero