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Page 369
... space and time coordinates are unconnected . Consequently under Galilean transformations the infinitesimal elements of distance and time are separately invariant . Thus ds2 = dx2 + dy2 + dz2 = ds'2 dr2 = dt'2 ( 11.59 ) For Lorentz ...
... space and time coordinates are unconnected . Consequently under Galilean transformations the infinitesimal elements of distance and time are separately invariant . Thus ds2 = dx2 + dy2 + dz2 = ds'2 dr2 = dt'2 ( 11.59 ) For Lorentz ...
Page 384
... space components of a 4 - vector . Hence f must be the space part of where : fu = 4 - vector = f , · ( 1 , 1 ) , ( 11.129 ) To see the meaning of the fourth component of the force - density 4 - vector we write out 1 fo = ~ ƒ1 ...
... space components of a 4 - vector . Hence f must be the space part of where : fu = 4 - vector = f , · ( 1 , 1 ) , ( 11.129 ) To see the meaning of the fourth component of the force - density 4 - vector we write out 1 fo = ~ ƒ1 ...
Page 495
... space - time depended on the behavior of the particle at one earlier point in space - time , the retarded position . This situation corre- sponds in the left side of Fig . 14.14 to the fact that a given point lies on only one circle ...
... space - time depended on the behavior of the particle at one earlier point in space - time , the retarded position . This situation corre- sponds in the left side of Fig . 14.14 to the fact that a given point lies on only one circle ...
Contents
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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