Classical ElectrodynamicsProblems after each chapter |
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Page 18
... satisfying the equation : 1 V / 2 | x − x ' = —4ñd ( 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 ) . In ...
... satisfying the equation : 1 V / 2 | x − x ' = —4ñd ( 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 ) . In ...
Page 181
... satisfy ( 6.36 ) . Then let us make a gauge transformation to potentials A ' , ' and demand that A ' , ' satisfy the Lorentz condition : found to satisfy the which satisfy ( 6.32 ) V.A ' + 1 Φ ' c at = 0 = V • A + 1 дФ c at + V2A - -- 1 ...
... satisfy ( 6.36 ) . Then let us make a gauge transformation to potentials A ' , ' and demand that A ' , ' satisfy the Lorentz condition : found to satisfy the which satisfy ( 6.32 ) V.A ' + 1 Φ ' c at = 0 = V • A + 1 дФ c at + V2A - -- 1 ...
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 ( tt ) . 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 ( tt ) . To find G we consider the ...
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