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Page 3
... delta function . In one dimension , the delta function , written d ( x a ) , is a mathematically improper function having the properties : - ( 1 ) d ( x − a ) ( 2 ) ❘ d ( x Jxx - - = 0 for xa , and a ) dx = 1 otherwise . if the region ...
... delta function . In one dimension , the delta function , written d ( x a ) , is a mathematically improper function having the properties : - ( 1 ) d ( x − a ) ( 2 ) ❘ d ( x Jxx - - = 0 for xa , and a ) dx = 1 otherwise . if the region ...
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 ) , df where f ( x ) = 0 . dx = d ( x ) dx . This can be proved by ...
... 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 ) , df where f ( x ) = 0 . dx = d ( x ) dx . This can be proved by ...
Page 37
... delta function whose integral over solid angle gives unity , and d ( r− r ) is the radial delta function . * Under inversion the angular factor is unchanged . Consequently we have 1 0 , = i - The radial delta function can be ...
... delta function whose integral over solid angle gives unity , and d ( r− r ) is the radial delta function . * Under inversion the angular factor is unchanged . Consequently we have 1 0 , = i - The radial delta function can be ...
Contents
1 | 1 |
BoundaryValue Problems in Electrostatics I | 26 |
Dielectrics | 98 |
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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