Classical Electrodynamics |
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Page 99
... called a multipole expansion ; the 1 = 0 term is called the monopole term , 7 = 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 ...
... called a multipole expansion ; the 1 = 0 term is called the monopole term , 7 = 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 ...
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 A ( x ) = с J ( x ' ) Ix - x ' d3x ' + VY ( x ) ( 5.28 ) ...
... 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 A ( x ) = с J ( x ' ) Ix - x ' d3x ' + VY ( x ) ( 5.28 ) ...
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 found to ...
... 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 found to ...
Common terms and phrases
4-vector acceleration Ampère's law angle angular distribution antenna approximation atomic axis Babinet's principle behavior boundary conditions calculate cavity Chapter charge q charged particle coefficients collisions component conducting conductor constant coordinate cross section cylinder d³x dielectric dielectric constant diffraction dipole direction discussed E₁ electric field electromagnetic fields electron electrostatic energy loss factor force equation frame frequency given Green's function impact parameter incident particle integral Kirchhoff Lagrangian Laplace's equation Lorentz force Lorentz invariant Lorentz transformation m₁ magnetic field magnetic induction magnitude Maxwell's equations meson modes momentum multipole nonrelativistic obtain oscillations P₁ P₂ parallel perpendicular phase velocity plane wave plasma polarization power radiated problem propagation radius region relativistic result scalar scattering screen shown in Fig shows sin² solution sphere spherical surface transverse unit V₁ vanishes vector potential velocity wave guide wave number wavelength ΦΩ