Classical ElectrodynamicsProblems after each chapter |
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Page 15
... Laplace's equation ) is expressed in ( 1.36 ) in terms of the potential and its normal derivative only on the surface of the volume . This rather surprising result is not a solution to a boundary - value problem , but only an integral ...
... Laplace's equation ) is expressed in ( 1.36 ) in terms of the potential and its normal derivative only on the surface of the volume . This rather surprising result is not a solution to a boundary - value problem , but only an integral ...
Page 48
... Laplace's equation in rectangular coordinates is 220 220 a2 + + მე : 2 Əy2 მ 2 = 0 ( 2.54 ) A solution of this partial differential equation can be found in terms of three ordinary differential equations , all of the same form , by ...
... Laplace's equation in rectangular coordinates is 220 220 a2 + + მე : 2 Əy2 მ 2 = 0 ( 2.54 ) A solution of this partial differential equation can be found in terms of three ordinary differential equations , all of the same form , by ...
Page 54
... Laplace's equation are represented by expansions in series of the appropriate orthonormal functions . Only an outline is given of the solution of the various ordinary differential equations obtained from Laplace's equation by separation ...
... Laplace's equation are represented by expansions in series of the appropriate orthonormal functions . Only an outline is given of the solution of the various ordinary differential equations obtained from Laplace's equation by separation ...
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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