Classical Electrodynamics |
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Page 18
... satisfying the equation : - V / 2 - 1 · x'l = −4πÔ ( x − x ' ) - ( 1.31 ) The function 1 / | x − x ' ] is only one of a class of functions depending on the variables x and x ' , and called Green's functions , which satisfy ( 1.31 ) ...
... satisfying the equation : - V / 2 - 1 · x'l = −4πÔ ( x − x ' ) - ( 1.31 ) The function 1 / | x − x ' ] is only one of a class of functions depending on the variables x and x ' , and called Green's functions , which satisfy ( 1.31 ) ...
Page 181
... satisfy ( 6.32 ) and ( 6.33 ) do not satisfy ( 6.36 ) . Then let us make a gauge transformation to potentials A ' , ' and demand that A ' , ' satisfy the Lorentz condition : V.A ' + 1 ΕΦ ' с ді = 0 = V • A + 1 Φ с ді 1 д2Л + V2A ( 6.39 ) ...
... satisfy ( 6.32 ) and ( 6.33 ) do not satisfy ( 6.36 ) . Then let us make a gauge transformation to potentials A ' , ' and demand that A ' , ' satisfy the Lorentz condition : V.A ' + 1 ΕΦ ' с ді = 0 = V • A + 1 Φ с ді 1 д2Л + V2A ( 6.39 ) ...
Page 183
... satisfy certain boundary conditions demanded by physical considerations . - - The basic Green's function satisfying ( 6.55 ) is a function only of the differences in coordinates ( x x ' ) and times ( t t ' ) . To find G we consider the ...
... satisfy certain boundary conditions demanded by physical considerations . - - The basic Green's function satisfying ( 6.55 ) is a function only of the differences in coordinates ( x x ' ) and times ( t t ' ) . To find G we consider the ...
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