Classical ElectrodynamicsProblems after each chapter |
From inside the book
Results 1-3 of 92
Page 18
... functions . " In obtaining result ( 1.36 ) —not a solution - we chose the function y to be 1 / xx ' , it being the potential of a unit point charge , satisfying the equation : 1 V / 2 · │x - x ' . = - — 4πd ( x − x ' ) - ( 1.31 ) The ...
... functions . " In obtaining result ( 1.36 ) —not a solution - we chose the function y to be 1 / xx ' , it being the potential of a unit point charge , satisfying the equation : 1 V / 2 · │x - x ' . = - — 4πd ( x − x ' ) - ( 1.31 ) The ...
Page 78
... function as a series of products of the functions appropriate to the coordi- nates in question . We first illustrate the type of expansion involved by considering spherical coordinates . For the case of no boundary surfaces , except at ...
... function as a series of products of the functions appropriate to the coordi- nates in question . We first illustrate the type of expansion involved by considering spherical coordinates . For the case of no boundary surfaces , except at ...
Page 183
... function for the equation , just as in electrostatics . Since the time is involved , the Green's function will depend on the variables ( x , x ' , t , t ' ) , and will satisfy the equation , 2 ( V2 - 1 2 ) G ( x . 22 c2 at2 - - - G ( x ...
... function for the equation , just as in electrostatics . Since the time is involved , the Green's function will depend on the variables ( x , x ' , t , t ' ) , and will satisfy the equation , 2 ( V2 - 1 2 ) G ( x . 22 c2 at2 - - - G ( x ...
Other editions - View all
Common terms and phrases
4-vector Ampère's law angle angular distribution approximation atomic axis boundary conditions calculate Chapter charge density charge q charged particle coefficients collisions component conductor consider coordinates cross section current density cylinder d³x delta function dielectric constant diffraction dimensions dipole direction discussed E₁ electric field electromagnetic fields electron electrostatic energy loss expansion expression factor frequency given Green's function impact parameter incident particle inside integral inversion Laplace's equation linear Lorentz transformation macroscopic magnetic field magnetic induction magnetic moment magnitude Maxwell's equations meson modes molecules momentum motion multipole nonrelativistic normal obtain oscillations P₁ parallel plasma point charge Poisson's equation polarization problem radiation radius region relativistic result scalar scalar potential scattering shown in Fig shows solution spherical surface surface-charge density theorem transverse unit V₁ vanishes vector potential velocity volume wave equation wave number wavelength written zero ΦΩ