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 66
... coefficients an so that we get the " best " representation of the function f ( § ) . If " best " is defined as minimizing the mean square error MN : MN = ~ = [ ] | ୮ N f ( £ ) – Σ anUn ( § ) | * dé it is easy to show that the coefficients ...
... coefficients an so that we get the " best " representation of the function f ( § ) . If " best " is defined as minimizing the mean square error MN : MN = ~ = [ ] | ୮ N f ( £ ) – Σ anUn ( § ) | * dé it is easy to show that the coefficients ...
Page 91
... coefficients A , are found by evaluating ( 3.33 ) on the surface of the sphere : 00 V ( 0 ) = Σ A1a'P1 ( cos 0 ) 1 = 0 ( 3.34 ) This is just a Legendre series of the form ( 3.23 ) , so that the coefficients A , are : 21 + 1 π A 21 + 1 ...
... coefficients A , are found by evaluating ( 3.33 ) on the surface of the sphere : 00 V ( 0 ) = Σ A1a'P1 ( cos 0 ) 1 = 0 ( 3.34 ) This is just a Legendre series of the form ( 3.23 ) , so that the coefficients A , are : 21 + 1 π A 21 + 1 ...
Page 772
... coefficients a . ( l ) and B. ( l ) in ( 16.141 ) are determined by the boundary conditions on the fields at r = a . Normally this would involve the solution of the Maxwell equations inside the sphere and appropriate matching of ...
... coefficients a . ( l ) and B. ( l ) in ( 16.141 ) are determined by the boundary conditions on the fields at r = a . Normally this would involve the solution of the Maxwell equations inside the sphere and appropriate matching of ...
Contents
L2 The Inverse Square Law or the Mass of the Photon | 1 |
BoundaryValue Problems | 54 |
Multipoles Electrostatics | 136 |
Copyright | |
17 other sections not shown
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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