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Page 367
... transformation we note that the transformation from K ' to K " is equivalent to two successive Lorentz transformations , one with velocity —v , and the other with velocity v + dv : v + dv →→→ K " K ' ( 11.49 ) Now it is generally ...
... transformation we note that the transformation from K ' to K " is equivalent to two successive Lorentz transformations , one with velocity —v , and the other with velocity v + dv : v + dv →→→ K " K ' ( 11.49 ) Now it is generally ...
Page 372
... transformations in four dimensions . The Lorentz transformation ( 11.21 ) can be written in the general form : x = aμ μ = 1 , 2 , 3 , 4 μ ( 11.70 ) v = 1 where the coefficients a , are constants characteristic of the particular ...
... transformations in four dimensions . The Lorentz transformation ( 11.21 ) can be written in the general form : x = aμ μ = 1 , 2 , 3 , 4 μ ( 11.70 ) v = 1 where the coefficients a , are constants characteristic of the particular ...
Page 380
... transformation properties can be found from = Fuvaμ¿a vo Fo F'μV 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 ...
... transformation properties can be found from = Fuvaμ¿a vo Fo F'μV 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 ...
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BoundaryValue Problems in Electrostatics I | 26 |
Dielectrics | 98 |
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4-vector acceleration Ampère's law angle angular distribution antenna approximation atomic axis B₁ 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 diffraction dipole direction discussed E₁ electric field electromagnetic fields electron electrostatic energy loss energy transfer 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 plasma polarization power radiated problem radius region relativistic result S₁ scalar scattering screen shown in Fig shows sin² solid angle solution sphere spherical surface transverse unit V₁ vanishes vector potential velocity wave guide wave number wavelength ΦΩ