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Page 99
... called a multipole expansion ; the 1 = 0 term is called the monopole term , = 1 is the dipole term , etc. The reason for these names becomes clear below . The problem to be solved is the determination of the constants qm in terms of the ...
... called a multipole expansion ; the 1 = 0 term is called the monopole term , = 1 is the dipole term , etc. The reason for these names becomes clear below . The problem to be solved is the determination of the constants qm in terms of the ...
Page 140
... called the vector potential , B ( x ) : = V x A ( x ) ( 5.27 ) We have , in fact , already written B in this form ( 5.16 ) . Evidently , from ( 5.16 ) , the general form of A is 1 J ( x ' ) A ( x ) = d3x ' + v ( x ) с - ( 5.28 ) The ...
... called the vector potential , B ( x ) : = V x A ( x ) ( 5.27 ) We have , in fact , already written B in this form ( 5.16 ) . Evidently , from ( 5.16 ) , the general form of A is 1 J ( x ' ) A ( x ) = d3x ' + v ( x ) с - ( 5.28 ) The ...
Page 181
... called a gauge transformation , and the invariance of the fields under such transformations is called gauge invariance . The relation ( 6.36 ) between A and is called the Lorentz condition . To see that potentials can always be Lorentz ...
... called a gauge transformation , and the invariance of the fields under such transformations is called gauge invariance . The relation ( 6.36 ) between A and is called the Lorentz condition . To see that potentials can always be Lorentz ...
Contents
1 | 1 |
Greens theorem | 14 |
BoundaryValue Problems in Electrostatics I | 26 |
Copyright | |
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4-vector acceleration Ampère's law angular distribution antenna approximation atomic axis B₁ Babinet's principle behavior boundary conditions calculate Chapter charge q charged particle classical coefficients collisions component conducting conductor constant coordinate cross section cylinder d³x dielectric diffraction dimensions dipole direction discussed E₁ effects electric field electromagnetic fields electrons electrostatic energy loss energy transfer factor force equation formula frequency given Green's function impact parameter incident particle integral Kirchhoff Lorentz invariant Lorentz transformation magnetic field magnetic induction magnitude Maxwell's equations meson modes momentum motion multipole nonrelativistic obtain oscillations P₁ parallel perpendicular plane wave plasma plasma oscillations polarization power radiated Poynting's vector problem propagation quantum quantum-mechanical radius region relativistic result scalar scattering screen shown in Fig shows sin² solid angle solution sphere spherical surface transverse unit V₁ vanishes vector potential velocity wave number wavelength ΦΩ