Classical Electrodynamics |
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Page 357
... transformation : * x ' = x + 1 X.V v2 V 1 vt = - c2 - | " — X.V c2 ( 11.21 ) It should be noted that ( 11.21 ) represents a single Lorentz transformation to a reference frame K ' moving with velocity v relative to the system K ...
... transformation : * x ' = x + 1 X.V v2 V 1 vt = - c2 - | " — X.V c2 ( 11.21 ) It should be noted that ( 11.21 ) represents a single Lorentz transformation to a reference frame K ' moving with velocity v relative to the system K ...
Page 372
... transformations in four dimensions . The Lorentz transformation ( 11.21 ) can be written in the general form : = y = 1 μ = 1 , 2 , 3 , 4 ( 11.70 ) where the coefficients a ,, are constants characteristic of the particular transformation ...
... transformations in four dimensions . The Lorentz transformation ( 11.21 ) can be written in the general form : = y = 1 μ = 1 , 2 , 3 , 4 ( 11.70 ) where the coefficients a ,, are constants characteristic of the particular transformation ...
Page 380
... transformation properties can be found from = F'Av Fuvaμavo Fi μες ( 11.113 ) With transformation ( 11.75 ) from a system K to K ' moving with velocity v along the x axis , ( 11.113 ) gives the transformed fields : - E1 = y ( E1 — ẞB1⁄2 ) ...
... transformation properties can be found from = F'Av Fuvaμavo Fi μες ( 11.113 ) With transformation ( 11.75 ) from a system K to K ' moving with velocity v along the x axis , ( 11.113 ) gives the transformed fields : - E1 = y ( E1 — ẞB1⁄2 ) ...
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