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Page 18
... satisfying the equation : V / 2 1 = -4πd ( x - x ' ) - x ' ( 1.31 ) x 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 : V / 2 1 = -4πd ( x - x ' ) - x ' ( 1.31 ) x 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 ( 6.32 ) 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 Φ ' c at = 0 = V • A + 1 дФ c at + V2A - 1 д2л c2 12 ...
... 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 Φ ' c at = 0 = V • A + 1 дФ c at + V2A - 1 д2л c2 12 ...
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 |
BoundaryValue Problems in Electrostatics I | 26 |
Dielectrics | 98 |
Copyright | |
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4-vector Ampère's law angle angular distribution antenna approximation atomic axis B₁ Babinet's principle behavior boundary conditions calculate cavity Chapter charged particle coefficients collisions component conducting conductor consider constant coordinate cross section cylinder d³x dielectric diffraction dimensions dipole direction discussed E₁ electric field electromagnetic fields electrons electrostatic energy loss factor force equation 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 parallel perpendicular phase velocity plane wave plasma polarization power radiated Poynting's vector problem propagation radius region relativistic result S₁ 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