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 188
... vector potential from a small volume AV at the point x ' will be ΔΑ ( x ) = + J ( x ' ) AV , M ( x ' ) x ( x − x ' ) cx - x ' x - x'3 AV This is the magnetic analog of ( 4.30 ) . The second term is the dipole vector potential ( 5.55 ) ...
... vector potential from a small volume AV at the point x ' will be ΔΑ ( x ) = + J ( x ' ) AV , M ( x ' ) x ( x − x ' ) cx - x ' x - x'3 AV This is the magnetic analog of ( 4.30 ) . The second term is the dipole vector potential ( 5.55 ) ...
Page 258
... vector potential dA for a magnetic dipole element dm at x ' is 1 dA ( x ) = - dmx V X - X ( 6.160 ) Thus for a string of dipoles or solenoid whose location is given by the string L the vector potential is -8 / AL ( x ) = −8 dl x V ( 1 ) ...
... vector potential dA for a magnetic dipole element dm at x ' is 1 dA ( x ) = - dmx V X - X ( 6.160 ) Thus for a string of dipoles or solenoid whose location is given by the string L the vector potential is -8 / AL ( x ) = −8 dl x V ( 1 ) ...
Page 393
... vector potential . In this region it is sufficient to approximate * │x - x ' ] = r - n.x ' ( 9.7 ) where n is a unit vector in the direction of x . Furthermore , if only the leading term in kr is desired , the inverse distance in ( 9.3 ) ...
... vector potential . In this region it is sufficient to approximate * │x - x ' ] = r - n.x ' ( 9.7 ) where n is a unit vector in the direction of x . Furthermore , if only the leading term in kr is desired , the inverse distance in ( 9.3 ) ...
Contents
L2 The Inverse Square Law or the Mass of the Photon | 1 |
BoundaryValue Problems | 54 |
Multipoles Electrostatics | 136 |
Copyright | |
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4-vector Ampère's law amplitude angle angular distribution angular momentum approximation atomic axis behavior boundary conditions calculate Chapter charge density charge q charged particle classical coefficients collision components conducting conductor consider coordinates cross section current density cylinder d³x defined dielectric constant diffraction dimensions dipole direction discussed electric and magnetic electric field electromagnetic fields electrons electrostatic expansion expression factor force frame frequency given Green function incident integral limit linear Lorentz transformation macroscopic magnetic field magnetic induction magnetic monopole magnitude Maxwell equations medium modes molecules motion multipole multipole expansion multipole moments nonrelativistic normal obtained oscillations parallel parameter photon Phys plane wave plasma polarization problem propagation quantum quantum-mechanical radiation radius region relativistic result scattering shown in Fig sin² solution spectrum sphere spherical surface tensor theorem transverse unit V₁ vanishes vector potential velocity volume wave guide wave number wavelength written zero ΦΩ