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Page 357
... transformation : * 1 x ' = x + v2 1 X.V 1 v2 - v2 vt 1 ( 11.21 ) - c2 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. Successive ...
... transformation : * 1 x ' = x + v2 1 X.V 1 v2 - v2 vt 1 ( 11.21 ) - c2 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. Successive ...
Page 372
... transformation . The invariance of R2 ( 11.69 ) forces the transformation coefficients av to satisfy the orthogonality condition : 4 Σαμα Σα μ = 1 μλ = 812 With ( 11.71 ) it is easy to show that the inverse transformation is and that 4 ...
... transformation . The invariance of R2 ( 11.69 ) forces the transformation coefficients av to satisfy the orthogonality condition : 4 Σαμα Σα μ = 1 μλ = 812 With ( 11.71 ) it is easy to show that the inverse transformation is and that 4 ...
Page 380
... transformation properties can be found from Fuv = aμ¿avo Fio 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 y ( E1 ...
... transformation properties can be found from Fuv = aμ¿avo Fio 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 y ( E1 ...
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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