Classical Electrodynamics |
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Page 3
... delta function . In one dimension , the delta function , written d ( xa ) , is a mathematically improper function having the properties : ( 1 ) d ( x − a ) = 0 for xa , and - dx -- ( 2 ) › Sox - a ) dx otherwise . = 1 if the region of ...
... delta function . In one dimension , the delta function , written d ( xa ) , is a mathematically improper function having the properties : ( 1 ) d ( x − a ) = 0 for xa , and - dx -- ( 2 ) › Sox - a ) dx otherwise . = 1 if the region of ...
Page 4
... delta function has as argument a function f ( x ) of the independent variable x , it can be transformed according to the rule , 1 ( 5 ) 8 ( f ( x ) ) = d ( x · xo ) , where f ( x ) = 0 . df dx This can be proved by noting that d ( ƒ ) ...
... delta function has as argument a function f ( x ) of the independent variable x , it can be transformed according to the rule , 1 ( 5 ) 8 ( f ( x ) ) = d ( x · xo ) , where f ( x ) = 0 . df dx This can be proved by noting that d ( ƒ ) ...
Page 37
... delta function whose integral over solid angle gives unity , and d ( rr ) is the radial delta function . * Under inversion the angular factor is unchanged . Consequently we have ( 204 ) = ΣΩ ) i 이 - ) The radial delta function can be ...
... delta function whose integral over solid angle gives unity , and d ( rr ) is the radial delta function . * Under inversion the angular factor is unchanged . Consequently we have ( 204 ) = ΣΩ ) i 이 - ) The radial delta function can be ...
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